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Finding the Third Proportional to 160,815 and 240,007

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Solution

The third proportional to 160,815 and 240,007 is: 358,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,815 : 240,007 = 240,007 : x
  2. Step 2: Convert to fraction form
    160,815/240,007 = 240,007/x
  3. Step 3: Cross multiply
    160,815x = 240,007 × 240,007
  4. Step 4: Simplify right side
    160,815x = 57,603,360,049
  5. Step 5: Solve for x
    x = 57,603,360,049/160,815
  6. Step 6: Final answer
    x = 358,196.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.