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Finding the Third Proportional to 158,911.88 and 343,031.06

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Solution

The third proportional to 158,911.88 and 343,031.06 is: 740,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,911.88 : 343,031.06 = 343,031.06 : x
  2. Step 2: Convert to fraction form
    158,911.88/343,031.06 = 343,031.06/x
  3. Step 3: Cross multiply
    158,911.88x = 343,031.06 × 343,031.06
  4. Step 4: Simplify right side
    158,911.88x = 117,670,309,839.88
  5. Step 5: Solve for x
    x = 117,670,309,839.88/158,911.88
  6. Step 6: Final answer
    x = 740,475.25

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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.