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Finding the Third Proportional to 147,705.08 and 234,476.02

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Solution

The third proportional to 147,705.08 and 234,476.02 is: 372,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,705.08 : 234,476.02 = 234,476.02 : x
  2. Step 2: Convert to fraction form
    147,705.08/234,476.02 = 234,476.02/x
  3. Step 3: Cross multiply
    147,705.08x = 234,476.02 × 234,476.02
  4. Step 4: Simplify right side
    147,705.08x = 54,979,001,903.38
  5. Step 5: Solve for x
    x = 54,979,001,903.38/147,705.08
  6. Step 6: Final answer
    x = 372,221.46

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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.