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Finding the Third Proportional to 127,416 and 272,316

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Solution

The third proportional to 127,416 and 272,316 is: 581,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,416 : 272,316 = 272,316 : x
  2. Step 2: Convert to fraction form
    127,416/272,316 = 272,316/x
  3. Step 3: Cross multiply
    127,416x = 272,316 × 272,316
  4. Step 4: Simplify right side
    127,416x = 74,156,003,856
  5. Step 5: Solve for x
    x = 74,156,003,856/127,416
  6. Step 6: Final answer
    x = 581,999.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.