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Finding the Third Proportional to 182,565 and 266,783

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Solution

The third proportional to 182,565 and 266,783 is: 389,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,565 : 266,783 = 266,783 : x
  2. Step 2: Convert to fraction form
    182,565/266,783 = 266,783/x
  3. Step 3: Cross multiply
    182,565x = 266,783 × 266,783
  4. Step 4: Simplify right side
    182,565x = 71,173,169,089
  5. Step 5: Solve for x
    x = 71,173,169,089/182,565
  6. Step 6: Final answer
    x = 389,851.12

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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.