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Finding the Third Proportional to 234,041.25 and 342,731.25

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Solution

The third proportional to 234,041.25 and 342,731.25 is: 501,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,041.25 : 342,731.25 = 342,731.25 : x
  2. Step 2: Convert to fraction form
    234,041.25/342,731.25 = 342,731.25/x
  3. Step 3: Cross multiply
    234,041.25x = 342,731.25 × 342,731.25
  4. Step 4: Simplify right side
    234,041.25x = 117,464,709,726.56
  5. Step 5: Solve for x
    x = 117,464,709,726.56/234,041.25
  6. Step 6: Final answer
    x = 501,897.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.