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Finding the Third Proportional to 153,253 and 237,851

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Solution

The third proportional to 153,253 and 237,851 is: 369,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,253 : 237,851 = 237,851 : x
  2. Step 2: Convert to fraction form
    153,253/237,851 = 237,851/x
  3. Step 3: Cross multiply
    153,253x = 237,851 × 237,851
  4. Step 4: Simplify right side
    153,253x = 56,573,098,201
  5. Step 5: Solve for x
    x = 56,573,098,201/153,253
  6. Step 6: Final answer
    x = 369,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.