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Finding the Third Proportional to 144,292.50 and 316,290.38

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Solution

The third proportional to 144,292.50 and 316,290.38 is: 693,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,292.50 : 316,290.38 = 316,290.38 : x
  2. Step 2: Convert to fraction form
    144,292.50/316,290.38 = 316,290.38/x
  3. Step 3: Cross multiply
    144,292.50x = 316,290.38 × 316,290.38
  4. Step 4: Simplify right side
    144,292.50x = 100,039,601,317.64
  5. Step 5: Solve for x
    x = 100,039,601,317.64/144,292.50
  6. Step 6: Final answer
    x = 693,311.17

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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.