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Finding the Third Proportional to 160,835.40 and 348,149.47

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Solution

The third proportional to 160,835.40 and 348,149.47 is: 753,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,835.40 : 348,149.47 = 348,149.47 : x
  2. Step 2: Convert to fraction form
    160,835.40/348,149.47 = 348,149.47/x
  3. Step 3: Cross multiply
    160,835.40x = 348,149.47 × 348,149.47
  4. Step 4: Simplify right side
    160,835.40x = 121,208,053,270.89
  5. Step 5: Solve for x
    x = 121,208,053,270.89/160,835.40
  6. Step 6: Final answer
    x = 753,615.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.