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Finding the Third Proportional to 158,365.13 and 344,614.50

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Solution

The third proportional to 158,365.13 and 344,614.50 is: 749,907.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,365.13 : 344,614.50 = 344,614.50 : x
  2. Step 2: Convert to fraction form
    158,365.13/344,614.50 = 344,614.50/x
  3. Step 3: Cross multiply
    158,365.13x = 344,614.50 × 344,614.50
  4. Step 4: Simplify right side
    158,365.13x = 118,759,153,610.25
  5. Step 5: Solve for x
    x = 118,759,153,610.25/158,365.13
  6. Step 6: Final answer
    x = 749,907.24

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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.