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Finding the Third Proportional to 253,996.50 and 542,985

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Solution

The third proportional to 253,996.50 and 542,985 is: 1,160,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,996.50 : 542,985 = 542,985 : x
  2. Step 2: Convert to fraction form
    253,996.50/542,985 = 542,985/x
  3. Step 3: Cross multiply
    253,996.50x = 542,985 × 542,985
  4. Step 4: Simplify right side
    253,996.50x = 294,832,710,225
  5. Step 5: Solve for x
    x = 294,832,710,225/253,996.50
  6. Step 6: Final answer
    x = 1,160,774.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.