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Finding the Third Proportional to 142,460 and 304,684

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Solution

The third proportional to 142,460 and 304,684 is: 651,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,460 : 304,684 = 304,684 : x
  2. Step 2: Convert to fraction form
    142,460/304,684 = 304,684/x
  3. Step 3: Cross multiply
    142,460x = 304,684 × 304,684
  4. Step 4: Simplify right side
    142,460x = 92,832,339,856
  5. Step 5: Solve for x
    x = 92,832,339,856/142,460
  6. Step 6: Final answer
    x = 651,637.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.