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Finding the Third Proportional to 153,684 and 237,342

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Solution

The third proportional to 153,684 and 237,342 is: 366,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,684 : 237,342 = 237,342 : x
  2. Step 2: Convert to fraction form
    153,684/237,342 = 237,342/x
  3. Step 3: Cross multiply
    153,684x = 237,342 × 237,342
  4. Step 4: Simplify right side
    153,684x = 56,331,224,964
  5. Step 5: Solve for x
    x = 56,331,224,964/153,684
  6. Step 6: Final answer
    x = 366,539.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.