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Finding the Third Proportional to 211,948 and 297,066

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Solution

The third proportional to 211,948 and 297,066 is: 416,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,948 : 297,066 = 297,066 : x
  2. Step 2: Convert to fraction form
    211,948/297,066 = 297,066/x
  3. Step 3: Cross multiply
    211,948x = 297,066 × 297,066
  4. Step 4: Simplify right side
    211,948x = 88,248,208,356
  5. Step 5: Solve for x
    x = 88,248,208,356/211,948
  6. Step 6: Final answer
    x = 416,367.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.