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Finding the Third Proportional to 127,748 and 298,382

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Solution

The third proportional to 127,748 and 298,382 is: 696,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,748 : 298,382 = 298,382 : x
  2. Step 2: Convert to fraction form
    127,748/298,382 = 298,382/x
  3. Step 3: Cross multiply
    127,748x = 298,382 × 298,382
  4. Step 4: Simplify right side
    127,748x = 89,031,817,924
  5. Step 5: Solve for x
    x = 89,031,817,924/127,748
  6. Step 6: Final answer
    x = 696,933.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.