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Finding the Third Proportional to 124,592 and 280,376

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Solution

The third proportional to 124,592 and 280,376 is: 630,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,592 : 280,376 = 280,376 : x
  2. Step 2: Convert to fraction form
    124,592/280,376 = 280,376/x
  3. Step 3: Cross multiply
    124,592x = 280,376 × 280,376
  4. Step 4: Simplify right side
    124,592x = 78,610,701,376
  5. Step 5: Solve for x
    x = 78,610,701,376/124,592
  6. Step 6: Final answer
    x = 630,945.02

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.