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Finding the Third Proportional to 174,771 and 382,252.50

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Solution

The third proportional to 174,771 and 382,252.50 is: 836,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,771 : 382,252.50 = 382,252.50 : x
  2. Step 2: Convert to fraction form
    174,771/382,252.50 = 382,252.50/x
  3. Step 3: Cross multiply
    174,771x = 382,252.50 × 382,252.50
  4. Step 4: Simplify right side
    174,771x = 146,116,973,756.25
  5. Step 5: Solve for x
    x = 146,116,973,756.25/174,771
  6. Step 6: Final answer
    x = 836,048.16

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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.