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Finding the Third Proportional to 144,449 and 208,066

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Solution

The third proportional to 144,449 and 208,066 is: 299,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,449 : 208,066 = 208,066 : x
  2. Step 2: Convert to fraction form
    144,449/208,066 = 208,066/x
  3. Step 3: Cross multiply
    144,449x = 208,066 × 208,066
  4. Step 4: Simplify right side
    144,449x = 43,291,460,356
  5. Step 5: Solve for x
    x = 43,291,460,356/144,449
  6. Step 6: Final answer
    x = 299,700.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.