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Finding the Third Proportional to 229,803.75 and 343,315.13

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Solution

The third proportional to 229,803.75 and 343,315.13 is: 512,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,803.75 : 343,315.13 = 343,315.13 : x
  2. Step 2: Convert to fraction form
    229,803.75/343,315.13 = 343,315.13/x
  3. Step 3: Cross multiply
    229,803.75x = 343,315.13 × 343,315.13
  4. Step 4: Simplify right side
    229,803.75x = 117,865,275,053.77
  5. Step 5: Solve for x
    x = 117,865,275,053.77/229,803.75
  6. Step 6: Final answer
    x = 512,895.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.