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Finding the Third Proportional to 142,896 and 307,200

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Solution

The third proportional to 142,896 and 307,200 is: 660,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,896 : 307,200 = 307,200 : x
  2. Step 2: Convert to fraction form
    142,896/307,200 = 307,200/x
  3. Step 3: Cross multiply
    142,896x = 307,200 × 307,200
  4. Step 4: Simplify right side
    142,896x = 94,371,840,000
  5. Step 5: Solve for x
    x = 94,371,840,000/142,896
  6. Step 6: Final answer
    x = 660,423.24

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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.