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Finding the Third Proportional to 126,364 and 272,312

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Solution

The third proportional to 126,364 and 272,312 is: 586,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,364 : 272,312 = 272,312 : x
  2. Step 2: Convert to fraction form
    126,364/272,312 = 272,312/x
  3. Step 3: Cross multiply
    126,364x = 272,312 × 272,312
  4. Step 4: Simplify right side
    126,364x = 74,153,825,344
  5. Step 5: Solve for x
    x = 74,153,825,344/126,364
  6. Step 6: Final answer
    x = 586,827.14

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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.