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Finding the Third Proportional to 116,484 and 184,111.50

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Solution

The third proportional to 116,484 and 184,111.50 is: 291,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,484 : 184,111.50 = 184,111.50 : x
  2. Step 2: Convert to fraction form
    116,484/184,111.50 = 184,111.50/x
  3. Step 3: Cross multiply
    116,484x = 184,111.50 × 184,111.50
  4. Step 4: Simplify right side
    116,484x = 33,897,044,432.25
  5. Step 5: Solve for x
    x = 33,897,044,432.25/116,484
  6. Step 6: Final answer
    x = 291,001.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.