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Finding the Third Proportional to 186,657 and 288,238.50

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Solution

The third proportional to 186,657 and 288,238.50 is: 445,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,657 : 288,238.50 = 288,238.50 : x
  2. Step 2: Convert to fraction form
    186,657/288,238.50 = 288,238.50/x
  3. Step 3: Cross multiply
    186,657x = 288,238.50 × 288,238.50
  4. Step 4: Simplify right side
    186,657x = 83,081,432,882.25
  5. Step 5: Solve for x
    x = 83,081,432,882.25/186,657
  6. Step 6: Final answer
    x = 445,102.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.