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Finding the Third Proportional to 148,152 and 235,350

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Solution

The third proportional to 148,152 and 235,350 is: 373,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,152 : 235,350 = 235,350 : x
  2. Step 2: Convert to fraction form
    148,152/235,350 = 235,350/x
  3. Step 3: Cross multiply
    148,152x = 235,350 × 235,350
  4. Step 4: Simplify right side
    148,152x = 55,389,622,500
  5. Step 5: Solve for x
    x = 55,389,622,500/148,152
  6. Step 6: Final answer
    x = 373,870.23

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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.