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Finding the Third Proportional to 237,425 and 369,753.50

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Solution

The third proportional to 237,425 and 369,753.50 is: 575,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,425 : 369,753.50 = 369,753.50 : x
  2. Step 2: Convert to fraction form
    237,425/369,753.50 = 369,753.50/x
  3. Step 3: Cross multiply
    237,425x = 369,753.50 × 369,753.50
  4. Step 4: Simplify right side
    237,425x = 136,717,650,762.25
  5. Step 5: Solve for x
    x = 136,717,650,762.25/237,425
  6. Step 6: Final answer
    x = 575,835.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.