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Finding the Third Proportional to 216,303.75 and 465,886.13

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Solution

The third proportional to 216,303.75 and 465,886.13 is: 1,003,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,303.75 : 465,886.13 = 465,886.13 : x
  2. Step 2: Convert to fraction form
    216,303.75/465,886.13 = 465,886.13/x
  3. Step 3: Cross multiply
    216,303.75x = 465,886.13 × 465,886.13
  4. Step 4: Simplify right side
    216,303.75x = 217,049,881,467.52
  5. Step 5: Solve for x
    x = 217,049,881,467.52/216,303.75
  6. Step 6: Final answer
    x = 1,003,449.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.