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Finding the Third Proportional to 161,978.06 and 353,480.06

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Solution

The third proportional to 161,978.06 and 353,480.06 is: 771,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,978.06 : 353,480.06 = 353,480.06 : x
  2. Step 2: Convert to fraction form
    161,978.06/353,480.06 = 353,480.06/x
  3. Step 3: Cross multiply
    161,978.06x = 353,480.06 × 353,480.06
  4. Step 4: Simplify right side
    161,978.06x = 124,948,154,585.00
  5. Step 5: Solve for x
    x = 124,948,154,585.00/161,978.06
  6. Step 6: Final answer
    x = 771,389.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.