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Finding the Third Proportional to 163,813 and 357,932

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Solution

The third proportional to 163,813 and 357,932 is: 782,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,813 : 357,932 = 357,932 : x
  2. Step 2: Convert to fraction form
    163,813/357,932 = 357,932/x
  3. Step 3: Cross multiply
    163,813x = 357,932 × 357,932
  4. Step 4: Simplify right side
    163,813x = 128,115,316,624
  5. Step 5: Solve for x
    x = 128,115,316,624/163,813
  6. Step 6: Final answer
    x = 782,082.72

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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.