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Finding the Third Proportional to 142,692.25 and 307,459

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Solution

The third proportional to 142,692.25 and 307,459 is: 662,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,692.25 : 307,459 = 307,459 : x
  2. Step 2: Convert to fraction form
    142,692.25/307,459 = 307,459/x
  3. Step 3: Cross multiply
    142,692.25x = 307,459 × 307,459
  4. Step 4: Simplify right side
    142,692.25x = 94,531,036,681
  5. Step 5: Solve for x
    x = 94,531,036,681/142,692.25
  6. Step 6: Final answer
    x = 662,481.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.