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Finding the Third Proportional to 76,390.13 and 164,482.13

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Solution

The third proportional to 76,390.13 and 164,482.13 is: 354,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,390.13 : 164,482.13 = 164,482.13 : x
  2. Step 2: Convert to fraction form
    76,390.13/164,482.13 = 164,482.13/x
  3. Step 3: Cross multiply
    76,390.13x = 164,482.13 × 164,482.13
  4. Step 4: Simplify right side
    76,390.13x = 27,054,369,444.52
  5. Step 5: Solve for x
    x = 27,054,369,444.52/76,390.13
  6. Step 6: Final answer
    x = 354,160.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.