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Finding the Third Proportional to 252,480 and 550,158

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Solution

The third proportional to 252,480 and 550,158 is: 1,198,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,480 : 550,158 = 550,158 : x
  2. Step 2: Convert to fraction form
    252,480/550,158 = 550,158/x
  3. Step 3: Cross multiply
    252,480x = 550,158 × 550,158
  4. Step 4: Simplify right side
    252,480x = 302,673,824,964
  5. Step 5: Solve for x
    x = 302,673,824,964/252,480
  6. Step 6: Final answer
    x = 1,198,803.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.