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Finding the Third Proportional to 227,598 and 344,541

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Solution

The third proportional to 227,598 and 344,541 is: 521,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,598 : 344,541 = 344,541 : x
  2. Step 2: Convert to fraction form
    227,598/344,541 = 344,541/x
  3. Step 3: Cross multiply
    227,598x = 344,541 × 344,541
  4. Step 4: Simplify right side
    227,598x = 118,708,500,681
  5. Step 5: Solve for x
    x = 118,708,500,681/227,598
  6. Step 6: Final answer
    x = 521,570.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.