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Finding the Third Proportional to 207,910.13 and 314,803.13

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Solution

The third proportional to 207,910.13 and 314,803.13 is: 476,653.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910.13 : 314,803.13 = 314,803.13 : x
  2. Step 2: Convert to fraction form
    207,910.13/314,803.13 = 314,803.13/x
  3. Step 3: Cross multiply
    207,910.13x = 314,803.13 × 314,803.13
  4. Step 4: Simplify right side
    207,910.13x = 99,101,007,509.77
  5. Step 5: Solve for x
    x = 99,101,007,509.77/207,910.13
  6. Step 6: Final answer
    x = 476,653.11

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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.