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Finding the Third Proportional to 130,801.50 and 282,510

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Solution

The third proportional to 130,801.50 and 282,510 is: 610,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,801.50 : 282,510 = 282,510 : x
  2. Step 2: Convert to fraction form
    130,801.50/282,510 = 282,510/x
  3. Step 3: Cross multiply
    130,801.50x = 282,510 × 282,510
  4. Step 4: Simplify right side
    130,801.50x = 79,811,900,100
  5. Step 5: Solve for x
    x = 79,811,900,100/130,801.50
  6. Step 6: Final answer
    x = 610,175.73

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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.