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Finding the Third Proportional to 167,327 and 245,409

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Solution

The third proportional to 167,327 and 245,409 is: 359,927.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,327 : 245,409 = 245,409 : x
  2. Step 2: Convert to fraction form
    167,327/245,409 = 245,409/x
  3. Step 3: Cross multiply
    167,327x = 245,409 × 245,409
  4. Step 4: Simplify right side
    167,327x = 60,225,577,281
  5. Step 5: Solve for x
    x = 60,225,577,281/167,327
  6. Step 6: Final answer
    x = 359,927.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.