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Finding the Third Proportional to 158,040 and 344,484

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Solution

The third proportional to 158,040 and 344,484 is: 750,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,040 : 344,484 = 344,484 : x
  2. Step 2: Convert to fraction form
    158,040/344,484 = 344,484/x
  3. Step 3: Cross multiply
    158,040x = 344,484 × 344,484
  4. Step 4: Simplify right side
    158,040x = 118,669,226,256
  5. Step 5: Solve for x
    x = 118,669,226,256/158,040
  6. Step 6: Final answer
    x = 750,880.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.