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Finding the Third Proportional to 152,106.50 and 236,456.38

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Solution

The third proportional to 152,106.50 and 236,456.38 is: 367,582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,106.50 : 236,456.38 = 236,456.38 : x
  2. Step 2: Convert to fraction form
    152,106.50/236,456.38 = 236,456.38/x
  3. Step 3: Cross multiply
    152,106.50x = 236,456.38 × 236,456.38
  4. Step 4: Simplify right side
    152,106.50x = 55,911,617,278.14
  5. Step 5: Solve for x
    x = 55,911,617,278.14/152,106.50
  6. Step 6: Final answer
    x = 367,582.04

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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.