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Finding the Third Proportional to 116,415 and 178,005.94

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Solution

The third proportional to 116,415 and 178,005.94 is: 272,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,415 : 178,005.94 = 178,005.94 : x
  2. Step 2: Convert to fraction form
    116,415/178,005.94 = 178,005.94/x
  3. Step 3: Cross multiply
    116,415x = 178,005.94 × 178,005.94
  4. Step 4: Simplify right side
    116,415x = 31,686,113,785.25
  5. Step 5: Solve for x
    x = 31,686,113,785.25/116,415
  6. Step 6: Final answer
    x = 272,182.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.