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Finding the Third Proportional to 240,924 and 357,894

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Solution

The third proportional to 240,924 and 357,894 is: 531,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,924 : 357,894 = 357,894 : x
  2. Step 2: Convert to fraction form
    240,924/357,894 = 357,894/x
  3. Step 3: Cross multiply
    240,924x = 357,894 × 357,894
  4. Step 4: Simplify right side
    240,924x = 128,088,115,236
  5. Step 5: Solve for x
    x = 128,088,115,236/240,924
  6. Step 6: Final answer
    x = 531,653.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.