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Finding the Third Proportional to 160,773 and 236,178

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Solution

The third proportional to 160,773 and 236,178 is: 346,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,773 : 236,178 = 236,178 : x
  2. Step 2: Convert to fraction form
    160,773/236,178 = 236,178/x
  3. Step 3: Cross multiply
    160,773x = 236,178 × 236,178
  4. Step 4: Simplify right side
    160,773x = 55,780,047,684
  5. Step 5: Solve for x
    x = 55,780,047,684/160,773
  6. Step 6: Final answer
    x = 346,949.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.