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Finding the Third Proportional to 116,368 and 184,560

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Solution

The third proportional to 116,368 and 184,560 is: 292,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,368 : 184,560 = 184,560 : x
  2. Step 2: Convert to fraction form
    116,368/184,560 = 184,560/x
  3. Step 3: Cross multiply
    116,368x = 184,560 × 184,560
  4. Step 4: Simplify right side
    116,368x = 34,062,393,600
  5. Step 5: Solve for x
    x = 34,062,393,600/116,368
  6. Step 6: Final answer
    x = 292,712.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.