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Finding the Third Proportional to 186,918 and 293,769

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Solution

The third proportional to 186,918 and 293,769 is: 461,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,918 : 293,769 = 293,769 : x
  2. Step 2: Convert to fraction form
    186,918/293,769 = 293,769/x
  3. Step 3: Cross multiply
    186,918x = 293,769 × 293,769
  4. Step 4: Simplify right side
    186,918x = 86,300,225,361
  5. Step 5: Solve for x
    x = 86,300,225,361/186,918
  6. Step 6: Final answer
    x = 461,700.99

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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.