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Finding the Third Proportional to 237,117 and 361,584

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Solution

The third proportional to 237,117 and 361,584 is: 551,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,117 : 361,584 = 361,584 : x
  2. Step 2: Convert to fraction form
    237,117/361,584 = 361,584/x
  3. Step 3: Cross multiply
    237,117x = 361,584 × 361,584
  4. Step 4: Simplify right side
    237,117x = 130,742,989,056
  5. Step 5: Solve for x
    x = 130,742,989,056/237,117
  6. Step 6: Final answer
    x = 551,385.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.