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Finding the Third Proportional to 144,739.25 and 229,737.52

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Solution

The third proportional to 144,739.25 and 229,737.52 is: 364,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,739.25 : 229,737.52 = 229,737.52 : x
  2. Step 2: Convert to fraction form
    144,739.25/229,737.52 = 229,737.52/x
  3. Step 3: Cross multiply
    144,739.25x = 229,737.52 × 229,737.52
  4. Step 4: Simplify right side
    144,739.25x = 52,779,326,085.55
  5. Step 5: Solve for x
    x = 52,779,326,085.55/144,739.25
  6. Step 6: Final answer
    x = 364,651.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.