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Finding the Third Proportional to 238,281.75 and 464,590.69

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Solution

The third proportional to 238,281.75 and 464,590.69 is: 905,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,281.75 : 464,590.69 = 464,590.69 : x
  2. Step 2: Convert to fraction form
    238,281.75/464,590.69 = 464,590.69/x
  3. Step 3: Cross multiply
    238,281.75x = 464,590.69 × 464,590.69
  4. Step 4: Simplify right side
    238,281.75x = 215,844,506,911.72
  5. Step 5: Solve for x
    x = 215,844,506,911.72/238,281.75
  6. Step 6: Final answer
    x = 905,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.