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Finding the Third Proportional to 176,348 and 380,574

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Solution

The third proportional to 176,348 and 380,574 is: 821,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,348 : 380,574 = 380,574 : x
  2. Step 2: Convert to fraction form
    176,348/380,574 = 380,574/x
  3. Step 3: Cross multiply
    176,348x = 380,574 × 380,574
  4. Step 4: Simplify right side
    176,348x = 144,836,569,476
  5. Step 5: Solve for x
    x = 144,836,569,476/176,348
  6. Step 6: Final answer
    x = 821,311.10

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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.