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Finding the Third Proportional to 130,784 and 282,300

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Solution

The third proportional to 130,784 and 282,300 is: 609,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,784 : 282,300 = 282,300 : x
  2. Step 2: Convert to fraction form
    130,784/282,300 = 282,300/x
  3. Step 3: Cross multiply
    130,784x = 282,300 × 282,300
  4. Step 4: Simplify right side
    130,784x = 79,693,290,000
  5. Step 5: Solve for x
    x = 79,693,290,000/130,784
  6. Step 6: Final answer
    x = 609,350.46

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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.