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Finding the Third Proportional to 147,652.88 and 323,908.88

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Solution

The third proportional to 147,652.88 and 323,908.88 is: 710,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,652.88 : 323,908.88 = 323,908.88 : x
  2. Step 2: Convert to fraction form
    147,652.88/323,908.88 = 323,908.88/x
  3. Step 3: Cross multiply
    147,652.88x = 323,908.88 × 323,908.88
  4. Step 4: Simplify right side
    147,652.88x = 104,916,959,303.77
  5. Step 5: Solve for x
    x = 104,916,959,303.77/147,652.88
  6. Step 6: Final answer
    x = 710,564.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.