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Finding the Third Proportional to 160,001.26 and 349,527.02

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Solution

The third proportional to 160,001.26 and 349,527.02 is: 763,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,001.26 : 349,527.02 = 349,527.02 : x
  2. Step 2: Convert to fraction form
    160,001.26/349,527.02 = 349,527.02/x
  3. Step 3: Cross multiply
    160,001.26x = 349,527.02 × 349,527.02
  4. Step 4: Simplify right side
    160,001.26x = 122,169,140,113.08
  5. Step 5: Solve for x
    x = 122,169,140,113.08/160,001.26
  6. Step 6: Final answer
    x = 763,551.10

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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.