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Finding the Third Proportional to 272,108 and 429,030

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Solution

The third proportional to 272,108 and 429,030 is: 676,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,108 : 429,030 = 429,030 : x
  2. Step 2: Convert to fraction form
    272,108/429,030 = 429,030/x
  3. Step 3: Cross multiply
    272,108x = 429,030 × 429,030
  4. Step 4: Simplify right side
    272,108x = 184,066,740,900
  5. Step 5: Solve for x
    x = 184,066,740,900/272,108
  6. Step 6: Final answer
    x = 676,447.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.