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Finding the Third Proportional to 147,226.50 and 229,587.75

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Solution

The third proportional to 147,226.50 and 229,587.75 is: 358,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,226.50 : 229,587.75 = 229,587.75 : x
  2. Step 2: Convert to fraction form
    147,226.50/229,587.75 = 229,587.75/x
  3. Step 3: Cross multiply
    147,226.50x = 229,587.75 × 229,587.75
  4. Step 4: Simplify right side
    147,226.50x = 52,710,534,950.06
  5. Step 5: Solve for x
    x = 52,710,534,950.06/147,226.50
  6. Step 6: Final answer
    x = 358,023.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.