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Finding the Third Proportional to 245,188.50 and 529,083

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Solution

The third proportional to 245,188.50 and 529,083 is: 1,141,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,188.50 : 529,083 = 529,083 : x
  2. Step 2: Convert to fraction form
    245,188.50/529,083 = 529,083/x
  3. Step 3: Cross multiply
    245,188.50x = 529,083 × 529,083
  4. Step 4: Simplify right side
    245,188.50x = 279,928,820,889
  5. Step 5: Solve for x
    x = 279,928,820,889/245,188.50
  6. Step 6: Final answer
    x = 1,141,688.21

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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.