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Finding the Third Proportional to 145,911 and 208,651

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Solution

The third proportional to 145,911 and 208,651 is: 298,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,911 : 208,651 = 208,651 : x
  2. Step 2: Convert to fraction form
    145,911/208,651 = 208,651/x
  3. Step 3: Cross multiply
    145,911x = 208,651 × 208,651
  4. Step 4: Simplify right side
    145,911x = 43,535,239,801
  5. Step 5: Solve for x
    x = 43,535,239,801/145,911
  6. Step 6: Final answer
    x = 298,368.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.