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Finding the Third Proportional to 147,607 and 234,985

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Solution

The third proportional to 147,607 and 234,985 is: 374,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,607 : 234,985 = 234,985 : x
  2. Step 2: Convert to fraction form
    147,607/234,985 = 234,985/x
  3. Step 3: Cross multiply
    147,607x = 234,985 × 234,985
  4. Step 4: Simplify right side
    147,607x = 55,217,950,225
  5. Step 5: Solve for x
    x = 55,217,950,225/147,607
  6. Step 6: Final answer
    x = 374,087.61

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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.