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Finding the Third Proportional to 130,788 and 282,492

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Solution

The third proportional to 130,788 and 282,492 is: 610,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,788 : 282,492 = 282,492 : x
  2. Step 2: Convert to fraction form
    130,788/282,492 = 282,492/x
  3. Step 3: Cross multiply
    130,788x = 282,492 × 282,492
  4. Step 4: Simplify right side
    130,788x = 79,801,730,064
  5. Step 5: Solve for x
    x = 79,801,730,064/130,788
  6. Step 6: Final answer
    x = 610,160.95

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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.