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Finding the Third Proportional to 154,830 and 358,419

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Solution

The third proportional to 154,830 and 358,419 is: 829,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830 : 358,419 = 358,419 : x
  2. Step 2: Convert to fraction form
    154,830/358,419 = 358,419/x
  3. Step 3: Cross multiply
    154,830x = 358,419 × 358,419
  4. Step 4: Simplify right side
    154,830x = 128,464,179,561
  5. Step 5: Solve for x
    x = 128,464,179,561/154,830
  6. Step 6: Final answer
    x = 829,711.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.