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Finding the Third Proportional to 172,755 and 266,513.06

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Solution

The third proportional to 172,755 and 266,513.06 is: 411,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,755 : 266,513.06 = 266,513.06 : x
  2. Step 2: Convert to fraction form
    172,755/266,513.06 = 266,513.06/x
  3. Step 3: Cross multiply
    172,755x = 266,513.06 × 266,513.06
  4. Step 4: Simplify right side
    172,755x = 71,029,212,483.13
  5. Step 5: Solve for x
    x = 71,029,212,483.13/172,755
  6. Step 6: Final answer
    x = 411,155.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.