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Finding the Third Proportional to 162,306 and 354,482

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Solution

The third proportional to 162,306 and 354,482 is: 774,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,306 : 354,482 = 354,482 : x
  2. Step 2: Convert to fraction form
    162,306/354,482 = 354,482/x
  3. Step 3: Cross multiply
    162,306x = 354,482 × 354,482
  4. Step 4: Simplify right side
    162,306x = 125,657,488,324
  5. Step 5: Solve for x
    x = 125,657,488,324/162,306
  6. Step 6: Final answer
    x = 774,201.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.