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Finding the Third Proportional to 126,363 and 272,310

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Solution

The third proportional to 126,363 and 272,310 is: 586,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,363 : 272,310 = 272,310 : x
  2. Step 2: Convert to fraction form
    126,363/272,310 = 272,310/x
  3. Step 3: Cross multiply
    126,363x = 272,310 × 272,310
  4. Step 4: Simplify right side
    126,363x = 74,152,736,100
  5. Step 5: Solve for x
    x = 74,152,736,100/126,363
  6. Step 6: Final answer
    x = 586,823.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.