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Finding the Third Proportional to 162,624 and 355,968

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Solution

The third proportional to 162,624 and 355,968 is: 779,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,624 : 355,968 = 355,968 : x
  2. Step 2: Convert to fraction form
    162,624/355,968 = 355,968/x
  3. Step 3: Cross multiply
    162,624x = 355,968 × 355,968
  4. Step 4: Simplify right side
    162,624x = 126,713,217,024
  5. Step 5: Solve for x
    x = 126,713,217,024/162,624
  6. Step 6: Final answer
    x = 779,179.07

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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.