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Finding the Third Proportional to 131,024.25 and 280,746

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Solution

The third proportional to 131,024.25 and 280,746 is: 601,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,024.25 : 280,746 = 280,746 : x
  2. Step 2: Convert to fraction form
    131,024.25/280,746 = 280,746/x
  3. Step 3: Cross multiply
    131,024.25x = 280,746 × 280,746
  4. Step 4: Simplify right side
    131,024.25x = 78,818,316,516
  5. Step 5: Solve for x
    x = 78,818,316,516/131,024.25
  6. Step 6: Final answer
    x = 601,555.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.