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Finding the Third Proportional to 158,018 and 346,948

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Solution

The third proportional to 158,018 and 346,948 is: 761,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,018 : 346,948 = 346,948 : x
  2. Step 2: Convert to fraction form
    158,018/346,948 = 346,948/x
  3. Step 3: Cross multiply
    158,018x = 346,948 × 346,948
  4. Step 4: Simplify right side
    158,018x = 120,372,914,704
  5. Step 5: Solve for x
    x = 120,372,914,704/158,018
  6. Step 6: Final answer
    x = 761,767.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.