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Finding the Third Proportional to 158,020 and 346,951

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Solution

The third proportional to 158,020 and 346,951 is: 761,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,020 : 346,951 = 346,951 : x
  2. Step 2: Convert to fraction form
    158,020/346,951 = 346,951/x
  3. Step 3: Cross multiply
    158,020x = 346,951 × 346,951
  4. Step 4: Simplify right side
    158,020x = 120,374,996,401
  5. Step 5: Solve for x
    x = 120,374,996,401/158,020
  6. Step 6: Final answer
    x = 761,770.64

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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.