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Finding the Third Proportional to 240,928 and 357,904

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Solution

The third proportional to 240,928 and 357,904 is: 531,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,928 : 357,904 = 357,904 : x
  2. Step 2: Convert to fraction form
    240,928/357,904 = 357,904/x
  3. Step 3: Cross multiply
    240,928x = 357,904 × 357,904
  4. Step 4: Simplify right side
    240,928x = 128,095,273,216
  5. Step 5: Solve for x
    x = 128,095,273,216/240,928
  6. Step 6: Final answer
    x = 531,674.50

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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.