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Finding the Third Proportional to 164,688.75 and 240,754.50

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Solution

The third proportional to 164,688.75 and 240,754.50 is: 351,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,688.75 : 240,754.50 = 240,754.50 : x
  2. Step 2: Convert to fraction form
    164,688.75/240,754.50 = 240,754.50/x
  3. Step 3: Cross multiply
    164,688.75x = 240,754.50 × 240,754.50
  4. Step 4: Simplify right side
    164,688.75x = 57,962,729,270.25
  5. Step 5: Solve for x
    x = 57,962,729,270.25/164,688.75
  6. Step 6: Final answer
    x = 351,953.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.