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Finding the Third Proportional to 144,836 and 212,068.50

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Solution

The third proportional to 144,836 and 212,068.50 is: 310,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,836 : 212,068.50 = 212,068.50 : x
  2. Step 2: Convert to fraction form
    144,836/212,068.50 = 212,068.50/x
  3. Step 3: Cross multiply
    144,836x = 212,068.50 × 212,068.50
  4. Step 4: Simplify right side
    144,836x = 44,973,048,692.25
  5. Step 5: Solve for x
    x = 44,973,048,692.25/144,836
  6. Step 6: Final answer
    x = 310,510.15

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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.