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Finding the Third Proportional to 130,786 and 282,304

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Solution

The third proportional to 130,786 and 282,304 is: 609,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,786 : 282,304 = 282,304 : x
  2. Step 2: Convert to fraction form
    130,786/282,304 = 282,304/x
  3. Step 3: Cross multiply
    130,786x = 282,304 × 282,304
  4. Step 4: Simplify right side
    130,786x = 79,695,548,416
  5. Step 5: Solve for x
    x = 79,695,548,416/130,786
  6. Step 6: Final answer
    x = 609,358.41

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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.