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Finding the Third Proportional to 148,417.31 and 349,995.94

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Solution

The third proportional to 148,417.31 and 349,995.94 is: 825,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,417.31 : 349,995.94 = 349,995.94 : x
  2. Step 2: Convert to fraction form
    148,417.31/349,995.94 = 349,995.94/x
  3. Step 3: Cross multiply
    148,417.31x = 349,995.94 × 349,995.94
  4. Step 4: Simplify right side
    148,417.31x = 122,497,156,266.50
  5. Step 5: Solve for x
    x = 122,497,156,266.50/148,417.31
  6. Step 6: Final answer
    x = 825,356.25

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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.