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Finding the Third Proportional to 74,890.13 and 164,304

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Solution

The third proportional to 74,890.13 and 164,304 is: 360,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,890.13 : 164,304 = 164,304 : x
  2. Step 2: Convert to fraction form
    74,890.13/164,304 = 164,304/x
  3. Step 3: Cross multiply
    74,890.13x = 164,304 × 164,304
  4. Step 4: Simplify right side
    74,890.13x = 26,995,804,416
  5. Step 5: Solve for x
    x = 26,995,804,416/74,890.13
  6. Step 6: Final answer
    x = 360,472.15

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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.