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Finding the Third Proportional to 158,070 and 342,384

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Solution

The third proportional to 158,070 and 342,384 is: 741,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,070 : 342,384 = 342,384 : x
  2. Step 2: Convert to fraction form
    158,070/342,384 = 342,384/x
  3. Step 3: Cross multiply
    158,070x = 342,384 × 342,384
  4. Step 4: Simplify right side
    158,070x = 117,226,803,456
  5. Step 5: Solve for x
    x = 117,226,803,456/158,070
  6. Step 6: Final answer
    x = 741,613.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.