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Finding the Third Proportional to 228,264.75 and 328,792.50

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Solution

The third proportional to 228,264.75 and 328,792.50 is: 473,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,264.75 : 328,792.50 = 328,792.50 : x
  2. Step 2: Convert to fraction form
    228,264.75/328,792.50 = 328,792.50/x
  3. Step 3: Cross multiply
    228,264.75x = 328,792.50 × 328,792.50
  4. Step 4: Simplify right side
    228,264.75x = 108,104,508,056.25
  5. Step 5: Solve for x
    x = 108,104,508,056.25/228,264.75
  6. Step 6: Final answer
    x = 473,592.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.