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Finding the Third Proportional to 245,184.94 and 529,075.13

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Solution

The third proportional to 245,184.94 and 529,075.13 is: 1,141,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,184.94 : 529,075.13 = 529,075.13 : x
  2. Step 2: Convert to fraction form
    245,184.94/529,075.13 = 529,075.13/x
  3. Step 3: Cross multiply
    245,184.94x = 529,075.13 × 529,075.13
  4. Step 4: Simplify right side
    245,184.94x = 279,920,487,893.77
  5. Step 5: Solve for x
    x = 279,920,487,893.77/245,184.94
  6. Step 6: Final answer
    x = 1,141,670.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.