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Finding the Third Proportional to 201,316.50 and 465,660

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Solution

The third proportional to 201,316.50 and 465,660 is: 1,077,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316.50 : 465,660 = 465,660 : x
  2. Step 2: Convert to fraction form
    201,316.50/465,660 = 465,660/x
  3. Step 3: Cross multiply
    201,316.50x = 465,660 × 465,660
  4. Step 4: Simplify right side
    201,316.50x = 216,839,235,600
  5. Step 5: Solve for x
    x = 216,839,235,600/201,316.50
  6. Step 6: Final answer
    x = 1,077,106.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.