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Finding the Third Proportional to 194,408 and 423,952

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Solution

The third proportional to 194,408 and 423,952 is: 924,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408 : 423,952 = 423,952 : x
  2. Step 2: Convert to fraction form
    194,408/423,952 = 423,952/x
  3. Step 3: Cross multiply
    194,408x = 423,952 × 423,952
  4. Step 4: Simplify right side
    194,408x = 179,735,298,304
  5. Step 5: Solve for x
    x = 179,735,298,304/194,408
  6. Step 6: Final answer
    x = 924,526.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.