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Finding the Third Proportional to 116,840 and 183,048

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Solution

The third proportional to 116,840 and 183,048 is: 286,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,840 : 183,048 = 183,048 : x
  2. Step 2: Convert to fraction form
    116,840/183,048 = 183,048/x
  3. Step 3: Cross multiply
    116,840x = 183,048 × 183,048
  4. Step 4: Simplify right side
    116,840x = 33,506,570,304
  5. Step 5: Solve for x
    x = 33,506,570,304/116,840
  6. Step 6: Final answer
    x = 286,773.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.