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Finding the Third Proportional to 186,637.50 and 289,467

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Solution

The third proportional to 186,637.50 and 289,467 is: 448,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,637.50 : 289,467 = 289,467 : x
  2. Step 2: Convert to fraction form
    186,637.50/289,467 = 289,467/x
  3. Step 3: Cross multiply
    186,637.50x = 289,467 × 289,467
  4. Step 4: Simplify right side
    186,637.50x = 83,791,144,089
  5. Step 5: Solve for x
    x = 83,791,144,089/186,637.50
  6. Step 6: Final answer
    x = 448,951.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.