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Finding the Third Proportional to 147,643.25 and 229,048.50

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Solution

The third proportional to 147,643.25 and 229,048.50 is: 355,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,643.25 : 229,048.50 = 229,048.50 : x
  2. Step 2: Convert to fraction form
    147,643.25/229,048.50 = 229,048.50/x
  3. Step 3: Cross multiply
    147,643.25x = 229,048.50 × 229,048.50
  4. Step 4: Simplify right side
    147,643.25x = 52,463,215,352.25
  5. Step 5: Solve for x
    x = 52,463,215,352.25/147,643.25
  6. Step 6: Final answer
    x = 355,337.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.