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Finding the Third Proportional to 142,324 and 308,024

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Solution

The third proportional to 142,324 and 308,024 is: 666,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,324 : 308,024 = 308,024 : x
  2. Step 2: Convert to fraction form
    142,324/308,024 = 308,024/x
  3. Step 3: Cross multiply
    142,324x = 308,024 × 308,024
  4. Step 4: Simplify right side
    142,324x = 94,878,784,576
  5. Step 5: Solve for x
    x = 94,878,784,576/142,324
  6. Step 6: Final answer
    x = 666,639.39

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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.