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Finding the Third Proportional to 240,844 and 357,778

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Solution

The third proportional to 240,844 and 357,778 is: 531,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,844 : 357,778 = 357,778 : x
  2. Step 2: Convert to fraction form
    240,844/357,778 = 357,778/x
  3. Step 3: Cross multiply
    240,844x = 357,778 × 357,778
  4. Step 4: Simplify right side
    240,844x = 128,005,097,284
  5. Step 5: Solve for x
    x = 128,005,097,284/240,844
  6. Step 6: Final answer
    x = 531,485.51

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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.