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Finding the Third Proportional to 255,301 and 357,757

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Solution

The third proportional to 255,301 and 357,757 is: 501,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,301 : 357,757 = 357,757 : x
  2. Step 2: Convert to fraction form
    255,301/357,757 = 357,757/x
  3. Step 3: Cross multiply
    255,301x = 357,757 × 357,757
  4. Step 4: Simplify right side
    255,301x = 127,990,071,049
  5. Step 5: Solve for x
    x = 127,990,071,049/255,301
  6. Step 6: Final answer
    x = 501,330.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.