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Finding the Third Proportional to 130,897 and 282,682

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Solution

The third proportional to 130,897 and 282,682 is: 610,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,897 : 282,682 = 282,682 : x
  2. Step 2: Convert to fraction form
    130,897/282,682 = 282,682/x
  3. Step 3: Cross multiply
    130,897x = 282,682 × 282,682
  4. Step 4: Simplify right side
    130,897x = 79,909,113,124
  5. Step 5: Solve for x
    x = 79,909,113,124/130,897
  6. Step 6: Final answer
    x = 610,473.22

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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.