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Finding the Third Proportional to 174,778.50 and 382,904.06

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Solution

The third proportional to 174,778.50 and 382,904.06 is: 838,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,778.50 : 382,904.06 = 382,904.06 : x
  2. Step 2: Convert to fraction form
    174,778.50/382,904.06 = 382,904.06/x
  3. Step 3: Cross multiply
    174,778.50x = 382,904.06 × 382,904.06
  4. Step 4: Simplify right side
    174,778.50x = 146,615,521,079.00
  5. Step 5: Solve for x
    x = 146,615,521,079.00/174,778.50
  6. Step 6: Final answer
    x = 838,864.74

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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.