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Finding the Third Proportional to 147,783.25 and 229,298.63

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Solution

The third proportional to 147,783.25 and 229,298.63 is: 355,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,783.25 : 229,298.63 = 229,298.63 : x
  2. Step 2: Convert to fraction form
    147,783.25/229,298.63 = 229,298.63/x
  3. Step 3: Cross multiply
    147,783.25x = 229,298.63 × 229,298.63
  4. Step 4: Simplify right side
    147,783.25x = 52,577,859,426.89
  5. Step 5: Solve for x
    x = 52,577,859,426.89/147,783.25
  6. Step 6: Final answer
    x = 355,776.85

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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.