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Finding the Third Proportional to 131,002.88 and 282,924

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Solution

The third proportional to 131,002.88 and 282,924 is: 611,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,002.88 : 282,924 = 282,924 : x
  2. Step 2: Convert to fraction form
    131,002.88/282,924 = 282,924/x
  3. Step 3: Cross multiply
    131,002.88x = 282,924 × 282,924
  4. Step 4: Simplify right side
    131,002.88x = 80,045,989,776
  5. Step 5: Solve for x
    x = 80,045,989,776/131,002.88
  6. Step 6: Final answer
    x = 611,024.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.