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Finding the Third Proportional to 164,110 and 351,548

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Solution

The third proportional to 164,110 and 351,548 is: 753,068.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,110 : 351,548 = 351,548 : x
  2. Step 2: Convert to fraction form
    164,110/351,548 = 351,548/x
  3. Step 3: Cross multiply
    164,110x = 351,548 × 351,548
  4. Step 4: Simplify right side
    164,110x = 123,585,996,304
  5. Step 5: Solve for x
    x = 123,585,996,304/164,110
  6. Step 6: Final answer
    x = 753,068.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.