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Finding the Third Proportional to 147,334 and 226,594.50

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Solution

The third proportional to 147,334 and 226,594.50 is: 348,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,334 : 226,594.50 = 226,594.50 : x
  2. Step 2: Convert to fraction form
    147,334/226,594.50 = 226,594.50/x
  3. Step 3: Cross multiply
    147,334x = 226,594.50 × 226,594.50
  4. Step 4: Simplify right side
    147,334x = 51,345,067,430.25
  5. Step 5: Solve for x
    x = 51,345,067,430.25/147,334
  6. Step 6: Final answer
    x = 348,494.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.