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Finding the Third Proportional to 210,713.06 and 342,348.19

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Solution

The third proportional to 210,713.06 and 342,348.19 is: 556,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,713.06 : 342,348.19 = 342,348.19 : x
  2. Step 2: Convert to fraction form
    210,713.06/342,348.19 = 342,348.19/x
  3. Step 3: Cross multiply
    210,713.06x = 342,348.19 × 342,348.19
  4. Step 4: Simplify right side
    210,713.06x = 117,202,281,484.54
  5. Step 5: Solve for x
    x = 117,202,281,484.54/210,713.06
  6. Step 6: Final answer
    x = 556,217.45

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.