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Finding the Third Proportional to 138,484 and 301,272

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Solution

The third proportional to 138,484 and 301,272 is: 655,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,484 : 301,272 = 301,272 : x
  2. Step 2: Convert to fraction form
    138,484/301,272 = 301,272/x
  3. Step 3: Cross multiply
    138,484x = 301,272 × 301,272
  4. Step 4: Simplify right side
    138,484x = 90,764,817,984
  5. Step 5: Solve for x
    x = 90,764,817,984/138,484
  6. Step 6: Final answer
    x = 655,417.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.