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Finding the Third Proportional to 186,711 and 296,860.50

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Solution

The third proportional to 186,711 and 296,860.50 is: 471,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,711 : 296,860.50 = 296,860.50 : x
  2. Step 2: Convert to fraction form
    186,711/296,860.50 = 296,860.50/x
  3. Step 3: Cross multiply
    186,711x = 296,860.50 × 296,860.50
  4. Step 4: Simplify right side
    186,711x = 88,126,156,460.25
  5. Step 5: Solve for x
    x = 88,126,156,460.25/186,711
  6. Step 6: Final answer
    x = 471,992.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.