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Finding the Third Proportional to 153,669.66 and 232,647.19

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Solution

The third proportional to 153,669.66 and 232,647.19 is: 352,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,669.66 : 232,647.19 = 232,647.19 : x
  2. Step 2: Convert to fraction form
    153,669.66/232,647.19 = 232,647.19/x
  3. Step 3: Cross multiply
    153,669.66x = 232,647.19 × 232,647.19
  4. Step 4: Simplify right side
    153,669.66x = 54,124,713,851.66
  5. Step 5: Solve for x
    x = 54,124,713,851.66/153,669.66
  6. Step 6: Final answer
    x = 352,214.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.