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Finding the Third Proportional to 161,643 and 350,934

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Solution

The third proportional to 161,643 and 350,934 is: 761,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,643 : 350,934 = 350,934 : x
  2. Step 2: Convert to fraction form
    161,643/350,934 = 350,934/x
  3. Step 3: Cross multiply
    161,643x = 350,934 × 350,934
  4. Step 4: Simplify right side
    161,643x = 123,154,672,356
  5. Step 5: Solve for x
    x = 123,154,672,356/161,643
  6. Step 6: Final answer
    x = 761,893.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.