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Finding the Third Proportional to 152,689.13 and 237,758.63

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Solution

The third proportional to 152,689.13 and 237,758.63 is: 370,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,689.13 : 237,758.63 = 237,758.63 : x
  2. Step 2: Convert to fraction form
    152,689.13/237,758.63 = 237,758.63/x
  3. Step 3: Cross multiply
    152,689.13x = 237,758.63 × 237,758.63
  4. Step 4: Simplify right side
    152,689.13x = 56,529,163,761.89
  5. Step 5: Solve for x
    x = 56,529,163,761.89/152,689.13
  6. Step 6: Final answer
    x = 370,223.90

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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.