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Finding the Third Proportional to 117,089 and 276,312.25

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Solution

The third proportional to 117,089 and 276,312.25 is: 652,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,089 : 276,312.25 = 276,312.25 : x
  2. Step 2: Convert to fraction form
    117,089/276,312.25 = 276,312.25/x
  3. Step 3: Cross multiply
    117,089x = 276,312.25 × 276,312.25
  4. Step 4: Simplify right side
    117,089x = 76,348,459,500.06
  5. Step 5: Solve for x
    x = 76,348,459,500.06/117,089
  6. Step 6: Final answer
    x = 652,054.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.