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Finding the Third Proportional to 186,882 and 293,712

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Solution

The third proportional to 186,882 and 293,712 is: 461,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,882 : 293,712 = 293,712 : x
  2. Step 2: Convert to fraction form
    186,882/293,712 = 293,712/x
  3. Step 3: Cross multiply
    186,882x = 293,712 × 293,712
  4. Step 4: Simplify right side
    186,882x = 86,266,738,944
  5. Step 5: Solve for x
    x = 86,266,738,944/186,882
  6. Step 6: Final answer
    x = 461,610.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.