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Finding the Third Proportional to 184,230 and 292,952.25

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Solution

The third proportional to 184,230 and 292,952.25 is: 465,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,230 : 292,952.25 = 292,952.25 : x
  2. Step 2: Convert to fraction form
    184,230/292,952.25 = 292,952.25/x
  3. Step 3: Cross multiply
    184,230x = 292,952.25 × 292,952.25
  4. Step 4: Simplify right side
    184,230x = 85,821,020,780.06
  5. Step 5: Solve for x
    x = 85,821,020,780.06/184,230
  6. Step 6: Final answer
    x = 465,836.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.