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Finding the Third Proportional to 155,542.50 and 211,062

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Solution

The third proportional to 155,542.50 and 211,062 is: 286,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,542.50 : 211,062 = 211,062 : x
  2. Step 2: Convert to fraction form
    155,542.50/211,062 = 211,062/x
  3. Step 3: Cross multiply
    155,542.50x = 211,062 × 211,062
  4. Step 4: Simplify right side
    155,542.50x = 44,547,167,844
  5. Step 5: Solve for x
    x = 44,547,167,844/155,542.50
  6. Step 6: Final answer
    x = 286,398.69

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.