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Finding the Third Proportional to 130,814 and 282,534

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Solution

The third proportional to 130,814 and 282,534 is: 610,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,814 : 282,534 = 282,534 : x
  2. Step 2: Convert to fraction form
    130,814/282,534 = 282,534/x
  3. Step 3: Cross multiply
    130,814x = 282,534 × 282,534
  4. Step 4: Simplify right side
    130,814x = 79,825,461,156
  5. Step 5: Solve for x
    x = 79,825,461,156/130,814
  6. Step 6: Final answer
    x = 610,221.09

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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.