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Finding the Third Proportional to 155,445 and 335,410

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Solution

The third proportional to 155,445 and 335,410 is: 723,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,445 : 335,410 = 335,410 : x
  2. Step 2: Convert to fraction form
    155,445/335,410 = 335,410/x
  3. Step 3: Cross multiply
    155,445x = 335,410 × 335,410
  4. Step 4: Simplify right side
    155,445x = 112,499,868,100
  5. Step 5: Solve for x
    x = 112,499,868,100/155,445
  6. Step 6: Final answer
    x = 723,727.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.