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Finding the Third Proportional to 137,978.44 and 202,424.06

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Solution

The third proportional to 137,978.44 and 202,424.06 is: 296,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,978.44 : 202,424.06 = 202,424.06 : x
  2. Step 2: Convert to fraction form
    137,978.44/202,424.06 = 202,424.06/x
  3. Step 3: Cross multiply
    137,978.44x = 202,424.06 × 202,424.06
  4. Step 4: Simplify right side
    137,978.44x = 40,975,501,079.00
  5. Step 5: Solve for x
    x = 40,975,501,079.00/137,978.44
  6. Step 6: Final answer
    x = 296,970.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.