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Finding the Third Proportional to 148,411 and 349,985

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Solution

The third proportional to 148,411 and 349,985 is: 825,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,411 : 349,985 = 349,985 : x
  2. Step 2: Convert to fraction form
    148,411/349,985 = 349,985/x
  3. Step 3: Cross multiply
    148,411x = 349,985 × 349,985
  4. Step 4: Simplify right side
    148,411x = 122,489,500,225
  5. Step 5: Solve for x
    x = 122,489,500,225/148,411
  6. Step 6: Final answer
    x = 825,339.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.