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Finding the Third Proportional to 158,017 and 345,594

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Solution

The third proportional to 158,017 and 345,594 is: 755,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,017 : 345,594 = 345,594 : x
  2. Step 2: Convert to fraction form
    158,017/345,594 = 345,594/x
  3. Step 3: Cross multiply
    158,017x = 345,594 × 345,594
  4. Step 4: Simplify right side
    158,017x = 119,435,212,836
  5. Step 5: Solve for x
    x = 119,435,212,836/158,017
  6. Step 6: Final answer
    x = 755,837.74

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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.