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Finding the Third Proportional to 131,656.50 and 288,315

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Solution

The third proportional to 131,656.50 and 288,315 is: 631,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,656.50 : 288,315 = 288,315 : x
  2. Step 2: Convert to fraction form
    131,656.50/288,315 = 288,315/x
  3. Step 3: Cross multiply
    131,656.50x = 288,315 × 288,315
  4. Step 4: Simplify right side
    131,656.50x = 83,125,539,225
  5. Step 5: Solve for x
    x = 83,125,539,225/131,656.50
  6. Step 6: Final answer
    x = 631,381.96

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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.