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Finding the Third Proportional to 157,644 and 350,280

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Solution

The third proportional to 157,644 and 350,280 is: 778,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,644 : 350,280 = 350,280 : x
  2. Step 2: Convert to fraction form
    157,644/350,280 = 350,280/x
  3. Step 3: Cross multiply
    157,644x = 350,280 × 350,280
  4. Step 4: Simplify right side
    157,644x = 122,696,078,400
  5. Step 5: Solve for x
    x = 122,696,078,400/157,644
  6. Step 6: Final answer
    x = 778,311.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.