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Finding the Third Proportional to 160,274 and 240,435

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Solution

The third proportional to 160,274 and 240,435 is: 360,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,274 : 240,435 = 240,435 : x
  2. Step 2: Convert to fraction form
    160,274/240,435 = 240,435/x
  3. Step 3: Cross multiply
    160,274x = 240,435 × 240,435
  4. Step 4: Simplify right side
    160,274x = 57,808,989,225
  5. Step 5: Solve for x
    x = 57,808,989,225/160,274
  6. Step 6: Final answer
    x = 360,688.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.