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Finding the Third Proportional to 152,317.22 and 212,937.98

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Solution

The third proportional to 152,317.22 and 212,937.98 is: 297,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,317.22 : 212,937.98 = 212,937.98 : x
  2. Step 2: Convert to fraction form
    152,317.22/212,937.98 = 212,937.98/x
  3. Step 3: Cross multiply
    152,317.22x = 212,937.98 × 212,937.98
  4. Step 4: Simplify right side
    152,317.22x = 45,342,585,189.69
  5. Step 5: Solve for x
    x = 45,342,585,189.69/152,317.22
  6. Step 6: Final answer
    x = 297,685.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.