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Finding the Third Proportional to 115,819 and 183,542.50

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Solution

The third proportional to 115,819 and 183,542.50 is: 290,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,819 : 183,542.50 = 183,542.50 : x
  2. Step 2: Convert to fraction form
    115,819/183,542.50 = 183,542.50/x
  3. Step 3: Cross multiply
    115,819x = 183,542.50 × 183,542.50
  4. Step 4: Simplify right side
    115,819x = 33,687,849,306.25
  5. Step 5: Solve for x
    x = 33,687,849,306.25/115,819
  6. Step 6: Final answer
    x = 290,866.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.