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Finding the Third Proportional to 163,624 and 354,572

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Solution

The third proportional to 163,624 and 354,572 is: 768,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,624 : 354,572 = 354,572 : x
  2. Step 2: Convert to fraction form
    163,624/354,572 = 354,572/x
  3. Step 3: Cross multiply
    163,624x = 354,572 × 354,572
  4. Step 4: Simplify right side
    163,624x = 125,721,303,184
  5. Step 5: Solve for x
    x = 125,721,303,184/163,624
  6. Step 6: Final answer
    x = 768,354.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.