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Finding the Third Proportional to 155,526 and 341,184

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Solution

The third proportional to 155,526 and 341,184 is: 748,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,526 : 341,184 = 341,184 : x
  2. Step 2: Convert to fraction form
    155,526/341,184 = 341,184/x
  3. Step 3: Cross multiply
    155,526x = 341,184 × 341,184
  4. Step 4: Simplify right side
    155,526x = 116,406,521,856
  5. Step 5: Solve for x
    x = 116,406,521,856/155,526
  6. Step 6: Final answer
    x = 748,469.85

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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.