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Finding the Third Proportional to 145,656 and 219,537

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Solution

The third proportional to 145,656 and 219,537 is: 330,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656 : 219,537 = 219,537 : x
  2. Step 2: Convert to fraction form
    145,656/219,537 = 219,537/x
  3. Step 3: Cross multiply
    145,656x = 219,537 × 219,537
  4. Step 4: Simplify right side
    145,656x = 48,196,494,369
  5. Step 5: Solve for x
    x = 48,196,494,369/145,656
  6. Step 6: Final answer
    x = 330,892.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.