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Finding the Third Proportional to 134,971.13 and 295,366.13

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Solution

The third proportional to 134,971.13 and 295,366.13 is: 646,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,971.13 : 295,366.13 = 295,366.13 : x
  2. Step 2: Convert to fraction form
    134,971.13/295,366.13 = 295,366.13/x
  3. Step 3: Cross multiply
    134,971.13x = 295,366.13 × 295,366.13
  4. Step 4: Simplify right side
    134,971.13x = 87,241,147,797.52
  5. Step 5: Solve for x
    x = 87,241,147,797.52/134,971.13
  6. Step 6: Final answer
    x = 646,368.98

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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.