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Finding the Third Proportional to 187,413 and 299,751

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Solution

The third proportional to 187,413 and 299,751 is: 479,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,413 : 299,751 = 299,751 : x
  2. Step 2: Convert to fraction form
    187,413/299,751 = 299,751/x
  3. Step 3: Cross multiply
    187,413x = 299,751 × 299,751
  4. Step 4: Simplify right side
    187,413x = 89,850,662,001
  5. Step 5: Solve for x
    x = 89,850,662,001/187,413
  6. Step 6: Final answer
    x = 479,425.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.