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Finding the Third Proportional to 145,569 and 241,576

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Solution

The third proportional to 145,569 and 241,576 is: 400,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,569 : 241,576 = 241,576 : x
  2. Step 2: Convert to fraction form
    145,569/241,576 = 241,576/x
  3. Step 3: Cross multiply
    145,569x = 241,576 × 241,576
  4. Step 4: Simplify right side
    145,569x = 58,358,963,776
  5. Step 5: Solve for x
    x = 58,358,963,776/145,569
  6. Step 6: Final answer
    x = 400,902.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.