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Finding the Third Proportional to 174,448 and 382,088

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Solution

The third proportional to 174,448 and 382,088 is: 836,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,448 : 382,088 = 382,088 : x
  2. Step 2: Convert to fraction form
    174,448/382,088 = 382,088/x
  3. Step 3: Cross multiply
    174,448x = 382,088 × 382,088
  4. Step 4: Simplify right side
    174,448x = 145,991,239,744
  5. Step 5: Solve for x
    x = 145,991,239,744/174,448
  6. Step 6: Final answer
    x = 836,875.40

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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.