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Finding the Third Proportional to 158,220 and 341,178

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Solution

The third proportional to 158,220 and 341,178 is: 735,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,220 : 341,178 = 341,178 : x
  2. Step 2: Convert to fraction form
    158,220/341,178 = 341,178/x
  3. Step 3: Cross multiply
    158,220x = 341,178 × 341,178
  4. Step 4: Simplify right side
    158,220x = 116,402,427,684
  5. Step 5: Solve for x
    x = 116,402,427,684/158,220
  6. Step 6: Final answer
    x = 735,699.83

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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.