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Finding the Third Proportional to 148,396 and 349,955

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Solution

The third proportional to 148,396 and 349,955 is: 825,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,396 : 349,955 = 349,955 : x
  2. Step 2: Convert to fraction form
    148,396/349,955 = 349,955/x
  3. Step 3: Cross multiply
    148,396x = 349,955 × 349,955
  4. Step 4: Simplify right side
    148,396x = 122,468,502,025
  5. Step 5: Solve for x
    x = 122,468,502,025/148,396
  6. Step 6: Final answer
    x = 825,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.