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Finding the Third Proportional to 105,165.75 and 228,075.75

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Solution

The third proportional to 105,165.75 and 228,075.75 is: 494,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,165.75 : 228,075.75 = 228,075.75 : x
  2. Step 2: Convert to fraction form
    105,165.75/228,075.75 = 228,075.75/x
  3. Step 3: Cross multiply
    105,165.75x = 228,075.75 × 228,075.75
  4. Step 4: Simplify right side
    105,165.75x = 52,018,547,738.06
  5. Step 5: Solve for x
    x = 52,018,547,738.06/105,165.75
  6. Step 6: Final answer
    x = 494,633.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.