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Finding the Third Proportional to 174,749 and 382,210

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Solution

The third proportional to 174,749 and 382,210 is: 835,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,749 : 382,210 = 382,210 : x
  2. Step 2: Convert to fraction form
    174,749/382,210 = 382,210/x
  3. Step 3: Cross multiply
    174,749x = 382,210 × 382,210
  4. Step 4: Simplify right side
    174,749x = 146,084,484,100
  5. Step 5: Solve for x
    x = 146,084,484,100/174,749
  6. Step 6: Final answer
    x = 835,967.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.