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Finding the Third Proportional to 190,722.38 and 288,541.13

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Solution

The third proportional to 190,722.38 and 288,541.13 is: 436,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,722.38 : 288,541.13 = 288,541.13 : x
  2. Step 2: Convert to fraction form
    190,722.38/288,541.13 = 288,541.13/x
  3. Step 3: Cross multiply
    190,722.38x = 288,541.13 × 288,541.13
  4. Step 4: Simplify right side
    190,722.38x = 83,255,980,816.27
  5. Step 5: Solve for x
    x = 83,255,980,816.27/190,722.38
  6. Step 6: Final answer
    x = 436,529.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.