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Finding the Third Proportional to 144,927 and 216,052.50

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Solution

The third proportional to 144,927 and 216,052.50 is: 322,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,927 : 216,052.50 = 216,052.50 : x
  2. Step 2: Convert to fraction form
    144,927/216,052.50 = 216,052.50/x
  3. Step 3: Cross multiply
    144,927x = 216,052.50 × 216,052.50
  4. Step 4: Simplify right side
    144,927x = 46,678,682,756.25
  5. Step 5: Solve for x
    x = 46,678,682,756.25/144,927
  6. Step 6: Final answer
    x = 322,084.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.