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Finding the Third Proportional to 208,666.13 and 446,851.69

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Solution

The third proportional to 208,666.13 and 446,851.69 is: 956,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,666.13 : 446,851.69 = 446,851.69 : x
  2. Step 2: Convert to fraction form
    208,666.13/446,851.69 = 446,851.69/x
  3. Step 3: Cross multiply
    208,666.13x = 446,851.69 × 446,851.69
  4. Step 4: Simplify right side
    208,666.13x = 199,676,430,621.60
  5. Step 5: Solve for x
    x = 199,676,430,621.60/208,666.13
  6. Step 6: Final answer
    x = 956,918.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.