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Finding the Third Proportional to 74,865 and 163,797

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Solution

The third proportional to 74,865 and 163,797 is: 358,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,865 : 163,797 = 163,797 : x
  2. Step 2: Convert to fraction form
    74,865/163,797 = 163,797/x
  3. Step 3: Cross multiply
    74,865x = 163,797 × 163,797
  4. Step 4: Simplify right side
    74,865x = 26,829,457,209
  5. Step 5: Solve for x
    x = 26,829,457,209/74,865
  6. Step 6: Final answer
    x = 358,371.16

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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.