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Finding the Third Proportional to 203,091.50 and 314,312

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Solution

The third proportional to 203,091.50 and 314,312 is: 486,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,091.50 : 314,312 = 314,312 : x
  2. Step 2: Convert to fraction form
    203,091.50/314,312 = 314,312/x
  3. Step 3: Cross multiply
    203,091.50x = 314,312 × 314,312
  4. Step 4: Simplify right side
    203,091.50x = 98,792,033,344
  5. Step 5: Solve for x
    x = 98,792,033,344/203,091.50
  6. Step 6: Final answer
    x = 486,441.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.