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Finding the Third Proportional to 152,327 and 237,167

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Solution

The third proportional to 152,327 and 237,167 is: 369,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,327 : 237,167 = 237,167 : x
  2. Step 2: Convert to fraction form
    152,327/237,167 = 237,167/x
  3. Step 3: Cross multiply
    152,327x = 237,167 × 237,167
  4. Step 4: Simplify right side
    152,327x = 56,248,185,889
  5. Step 5: Solve for x
    x = 56,248,185,889/152,327
  6. Step 6: Final answer
    x = 369,259.46

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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.