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Finding the Third Proportional to 74,905.88 and 163,805.06

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Solution

The third proportional to 74,905.88 and 163,805.06 is: 358,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,905.88 : 163,805.06 = 163,805.06 : x
  2. Step 2: Convert to fraction form
    74,905.88/163,805.06 = 163,805.06/x
  3. Step 3: Cross multiply
    74,905.88x = 163,805.06 × 163,805.06
  4. Step 4: Simplify right side
    74,905.88x = 26,832,098,500.63
  5. Step 5: Solve for x
    x = 26,832,098,500.63/74,905.88
  6. Step 6: Final answer
    x = 358,210.87

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Why These Related Problems?

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