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Finding the Third Proportional to 186,705 and 296,851.50

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Solution

The third proportional to 186,705 and 296,851.50 is: 471,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,705 : 296,851.50 = 296,851.50 : x
  2. Step 2: Convert to fraction form
    186,705/296,851.50 = 296,851.50/x
  3. Step 3: Cross multiply
    186,705x = 296,851.50 × 296,851.50
  4. Step 4: Simplify right side
    186,705x = 88,120,813,052.25
  5. Step 5: Solve for x
    x = 88,120,813,052.25/186,705
  6. Step 6: Final answer
    x = 471,978.86

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