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Finding the Third Proportional to 207,888.75 and 313,706.25

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Solution

The third proportional to 207,888.75 and 313,706.25 is: 473,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,888.75 : 313,706.25 = 313,706.25 : x
  2. Step 2: Convert to fraction form
    207,888.75/313,706.25 = 313,706.25/x
  3. Step 3: Cross multiply
    207,888.75x = 313,706.25 × 313,706.25
  4. Step 4: Simplify right side
    207,888.75x = 98,411,611,289.06
  5. Step 5: Solve for x
    x = 98,411,611,289.06/207,888.75
  6. Step 6: Final answer
    x = 473,385.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.