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Finding the Third Proportional to 142,690.36 and 307,455.75

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Solution

The third proportional to 142,690.36 and 307,455.75 is: 662,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,690.36 : 307,455.75 = 307,455.75 : x
  2. Step 2: Convert to fraction form
    142,690.36/307,455.75 = 307,455.75/x
  3. Step 3: Cross multiply
    142,690.36x = 307,455.75 × 307,455.75
  4. Step 4: Simplify right side
    142,690.36x = 94,529,038,208.06
  5. Step 5: Solve for x
    x = 94,529,038,208.06/142,690.36
  6. Step 6: Final answer
    x = 662,476.70

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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.