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Finding the Third Proportional to 152,998.50 and 237,490.50

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Solution

The third proportional to 152,998.50 and 237,490.50 is: 368,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,998.50 : 237,490.50 = 237,490.50 : x
  2. Step 2: Convert to fraction form
    152,998.50/237,490.50 = 237,490.50/x
  3. Step 3: Cross multiply
    152,998.50x = 237,490.50 × 237,490.50
  4. Step 4: Simplify right side
    152,998.50x = 56,401,737,590.25
  5. Step 5: Solve for x
    x = 56,401,737,590.25/152,998.50
  6. Step 6: Final answer
    x = 368,642.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.