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Finding the Third Proportional to 144,840.75 and 212,076

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Solution

The third proportional to 144,840.75 and 212,076 is: 310,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,840.75 : 212,076 = 212,076 : x
  2. Step 2: Convert to fraction form
    144,840.75/212,076 = 212,076/x
  3. Step 3: Cross multiply
    144,840.75x = 212,076 × 212,076
  4. Step 4: Simplify right side
    144,840.75x = 44,976,229,776
  5. Step 5: Solve for x
    x = 44,976,229,776/144,840.75
  6. Step 6: Final answer
    x = 310,521.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.