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Finding the Third Proportional to 163,995 and 359,376

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Solution

The third proportional to 163,995 and 359,376 is: 787,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,995 : 359,376 = 359,376 : x
  2. Step 2: Convert to fraction form
    163,995/359,376 = 359,376/x
  3. Step 3: Cross multiply
    163,995x = 359,376 × 359,376
  4. Step 4: Simplify right side
    163,995x = 129,151,109,376
  5. Step 5: Solve for x
    x = 129,151,109,376/163,995
  6. Step 6: Final answer
    x = 787,530.77

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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.