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Finding the Third Proportional to 184,422.50 and 404,557

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Solution

The third proportional to 184,422.50 and 404,557 is: 887,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,422.50 : 404,557 = 404,557 : x
  2. Step 2: Convert to fraction form
    184,422.50/404,557 = 404,557/x
  3. Step 3: Cross multiply
    184,422.50x = 404,557 × 404,557
  4. Step 4: Simplify right side
    184,422.50x = 163,666,366,249
  5. Step 5: Solve for x
    x = 163,666,366,249/184,422.50
  6. Step 6: Final answer
    x = 887,453.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.