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Finding the Third Proportional to 237,125 and 361,709

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Solution

The third proportional to 237,125 and 361,709 is: 551,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,125 : 361,709 = 361,709 : x
  2. Step 2: Convert to fraction form
    237,125/361,709 = 361,709/x
  3. Step 3: Cross multiply
    237,125x = 361,709 × 361,709
  4. Step 4: Simplify right side
    237,125x = 130,833,400,681
  5. Step 5: Solve for x
    x = 130,833,400,681/237,125
  6. Step 6: Final answer
    x = 551,748.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.