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Finding the Third Proportional to 127,532 and 297,868

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Solution

The third proportional to 127,532 and 297,868 is: 695,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,532 : 297,868 = 297,868 : x
  2. Step 2: Convert to fraction form
    127,532/297,868 = 297,868/x
  3. Step 3: Cross multiply
    127,532x = 297,868 × 297,868
  4. Step 4: Simplify right side
    127,532x = 88,725,345,424
  5. Step 5: Solve for x
    x = 88,725,345,424/127,532
  6. Step 6: Final answer
    x = 695,710.45

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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.