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Finding the Third Proportional to 162,070 and 245,344

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Solution

The third proportional to 162,070 and 245,344 is: 371,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,070 : 245,344 = 245,344 : x
  2. Step 2: Convert to fraction form
    162,070/245,344 = 245,344/x
  3. Step 3: Cross multiply
    162,070x = 245,344 × 245,344
  4. Step 4: Simplify right side
    162,070x = 60,193,678,336
  5. Step 5: Solve for x
    x = 60,193,678,336/162,070
  6. Step 6: Final answer
    x = 371,405.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.