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Finding the Third Proportional to 107,911 and 237,240

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Solution

The third proportional to 107,911 and 237,240 is: 521,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,911 : 237,240 = 237,240 : x
  2. Step 2: Convert to fraction form
    107,911/237,240 = 237,240/x
  3. Step 3: Cross multiply
    107,911x = 237,240 × 237,240
  4. Step 4: Simplify right side
    107,911x = 56,282,817,600
  5. Step 5: Solve for x
    x = 56,282,817,600/107,911
  6. Step 6: Final answer
    x = 521,567.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.