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Finding the Third Proportional to 131,754 and 292,985

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Solution

The third proportional to 131,754 and 292,985 is: 651,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,754 : 292,985 = 292,985 : x
  2. Step 2: Convert to fraction form
    131,754/292,985 = 292,985/x
  3. Step 3: Cross multiply
    131,754x = 292,985 × 292,985
  4. Step 4: Simplify right side
    131,754x = 85,840,210,225
  5. Step 5: Solve for x
    x = 85,840,210,225/131,754
  6. Step 6: Final answer
    x = 651,518.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.