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Finding the Third Proportional to 148,392.50 and 349,948

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Solution

The third proportional to 148,392.50 and 349,948 is: 825,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,392.50 : 349,948 = 349,948 : x
  2. Step 2: Convert to fraction form
    148,392.50/349,948 = 349,948/x
  3. Step 3: Cross multiply
    148,392.50x = 349,948 × 349,948
  4. Step 4: Simplify right side
    148,392.50x = 122,463,602,704
  5. Step 5: Solve for x
    x = 122,463,602,704/148,392.50
  6. Step 6: Final answer
    x = 825,268.14

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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.