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Finding the Third Proportional to 154,527 and 338,574

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Solution

The third proportional to 154,527 and 338,574 is: 741,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,527 : 338,574 = 338,574 : x
  2. Step 2: Convert to fraction form
    154,527/338,574 = 338,574/x
  3. Step 3: Cross multiply
    154,527x = 338,574 × 338,574
  4. Step 4: Simplify right side
    154,527x = 114,632,353,476
  5. Step 5: Solve for x
    x = 114,632,353,476/154,527
  6. Step 6: Final answer
    x = 741,827.34

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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.