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Finding the Third Proportional to 148,410 and 207,601.50

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Solution

The third proportional to 148,410 and 207,601.50 is: 290,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,410 : 207,601.50 = 207,601.50 : x
  2. Step 2: Convert to fraction form
    148,410/207,601.50 = 207,601.50/x
  3. Step 3: Cross multiply
    148,410x = 207,601.50 × 207,601.50
  4. Step 4: Simplify right side
    148,410x = 43,098,382,802.25
  5. Step 5: Solve for x
    x = 43,098,382,802.25/148,410
  6. Step 6: Final answer
    x = 290,400.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.