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Finding the Third Proportional to 142,807 and 308,159

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Solution

The third proportional to 142,807 and 308,159 is: 664,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,807 : 308,159 = 308,159 : x
  2. Step 2: Convert to fraction form
    142,807/308,159 = 308,159/x
  3. Step 3: Cross multiply
    142,807x = 308,159 × 308,159
  4. Step 4: Simplify right side
    142,807x = 94,961,969,281
  5. Step 5: Solve for x
    x = 94,961,969,281/142,807
  6. Step 6: Final answer
    x = 664,967.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.