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Finding the Third Proportional to 161,523 and 240,705

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Solution

The third proportional to 161,523 and 240,705 is: 358,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,523 : 240,705 = 240,705 : x
  2. Step 2: Convert to fraction form
    161,523/240,705 = 240,705/x
  3. Step 3: Cross multiply
    161,523x = 240,705 × 240,705
  4. Step 4: Simplify right side
    161,523x = 57,938,897,025
  5. Step 5: Solve for x
    x = 57,938,897,025/161,523
  6. Step 6: Final answer
    x = 358,703.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.