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Finding the Third Proportional to 243,658 and 375,001

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Solution

The third proportional to 243,658 and 375,001 is: 577,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,658 : 375,001 = 375,001 : x
  2. Step 2: Convert to fraction form
    243,658/375,001 = 375,001/x
  3. Step 3: Cross multiply
    243,658x = 375,001 × 375,001
  4. Step 4: Simplify right side
    243,658x = 140,625,750,001
  5. Step 5: Solve for x
    x = 140,625,750,001/243,658
  6. Step 6: Final answer
    x = 577,143.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.