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Finding the Third Proportional to 158,768 and 342,464

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Solution

The third proportional to 158,768 and 342,464 is: 738,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,768 : 342,464 = 342,464 : x
  2. Step 2: Convert to fraction form
    158,768/342,464 = 342,464/x
  3. Step 3: Cross multiply
    158,768x = 342,464 × 342,464
  4. Step 4: Simplify right side
    158,768x = 117,281,591,296
  5. Step 5: Solve for x
    x = 117,281,591,296/158,768
  6. Step 6: Final answer
    x = 738,697.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.