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Finding the Third Proportional to 176,516 and 416,348

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Solution

The third proportional to 176,516 and 416,348 is: 982,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,516 : 416,348 = 416,348 : x
  2. Step 2: Convert to fraction form
    176,516/416,348 = 416,348/x
  3. Step 3: Cross multiply
    176,516x = 416,348 × 416,348
  4. Step 4: Simplify right side
    176,516x = 173,345,657,104
  5. Step 5: Solve for x
    x = 173,345,657,104/176,516
  6. Step 6: Final answer
    x = 982,039.35

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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.