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Finding the Third Proportional to 163,116 and 237,573

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Solution

The third proportional to 163,116 and 237,573 is: 346,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,116 : 237,573 = 237,573 : x
  2. Step 2: Convert to fraction form
    163,116/237,573 = 237,573/x
  3. Step 3: Cross multiply
    163,116x = 237,573 × 237,573
  4. Step 4: Simplify right side
    163,116x = 56,440,930,329
  5. Step 5: Solve for x
    x = 56,440,930,329/163,116
  6. Step 6: Final answer
    x = 346,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.