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Finding the Third Proportional to 152,395.88 and 237,318.19

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Solution

The third proportional to 152,395.88 and 237,318.19 is: 369,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,395.88 : 237,318.19 = 237,318.19 : x
  2. Step 2: Convert to fraction form
    152,395.88/237,318.19 = 237,318.19/x
  3. Step 3: Cross multiply
    152,395.88x = 237,318.19 × 237,318.19
  4. Step 4: Simplify right side
    152,395.88x = 56,319,922,118.29
  5. Step 5: Solve for x
    x = 56,319,922,118.29/152,395.88
  6. Step 6: Final answer
    x = 369,563.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.