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Finding the Third Proportional to 133,324 and 314,714

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Solution

The third proportional to 133,324 and 314,714 is: 742,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,324 : 314,714 = 314,714 : x
  2. Step 2: Convert to fraction form
    133,324/314,714 = 314,714/x
  3. Step 3: Cross multiply
    133,324x = 314,714 × 314,714
  4. Step 4: Simplify right side
    133,324x = 99,044,901,796
  5. Step 5: Solve for x
    x = 99,044,901,796/133,324
  6. Step 6: Final answer
    x = 742,888.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.