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Finding the Third Proportional to 131,470.50 and 287,820

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Solution

The third proportional to 131,470.50 and 287,820 is: 630,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470.50 : 287,820 = 287,820 : x
  2. Step 2: Convert to fraction form
    131,470.50/287,820 = 287,820/x
  3. Step 3: Cross multiply
    131,470.50x = 287,820 × 287,820
  4. Step 4: Simplify right side
    131,470.50x = 82,840,352,400
  5. Step 5: Solve for x
    x = 82,840,352,400/131,470.50
  6. Step 6: Final answer
    x = 630,106.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.