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Finding the Third Proportional to 153,468 and 236,763

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Solution

The third proportional to 153,468 and 236,763 is: 365,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,468 : 236,763 = 236,763 : x
  2. Step 2: Convert to fraction form
    153,468/236,763 = 236,763/x
  3. Step 3: Cross multiply
    153,468x = 236,763 × 236,763
  4. Step 4: Simplify right side
    153,468x = 56,056,718,169
  5. Step 5: Solve for x
    x = 56,056,718,169/153,468
  6. Step 6: Final answer
    x = 365,266.49

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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.