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Finding the Third Proportional to 160,888 and 266,604

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Solution

The third proportional to 160,888 and 266,604 is: 441,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,888 : 266,604 = 266,604 : x
  2. Step 2: Convert to fraction form
    160,888/266,604 = 266,604/x
  3. Step 3: Cross multiply
    160,888x = 266,604 × 266,604
  4. Step 4: Simplify right side
    160,888x = 71,077,692,816
  5. Step 5: Solve for x
    x = 71,077,692,816/160,888
  6. Step 6: Final answer
    x = 441,783.68

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.