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Finding the Third Proportional to 190,475.25 and 418,332

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Solution

The third proportional to 190,475.25 and 418,332 is: 918,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,475.25 : 418,332 = 418,332 : x
  2. Step 2: Convert to fraction form
    190,475.25/418,332 = 418,332/x
  3. Step 3: Cross multiply
    190,475.25x = 418,332 × 418,332
  4. Step 4: Simplify right side
    190,475.25x = 175,001,662,224
  5. Step 5: Solve for x
    x = 175,001,662,224/190,475.25
  6. Step 6: Final answer
    x = 918,763.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.