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Finding the Third Proportional to 130,762 and 282,260

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Solution

The third proportional to 130,762 and 282,260 is: 609,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,762 : 282,260 = 282,260 : x
  2. Step 2: Convert to fraction form
    130,762/282,260 = 282,260/x
  3. Step 3: Cross multiply
    130,762x = 282,260 × 282,260
  4. Step 4: Simplify right side
    130,762x = 79,670,707,600
  5. Step 5: Solve for x
    x = 79,670,707,600/130,762
  6. Step 6: Final answer
    x = 609,280.28

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Why These Related Problems?

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