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Finding the Third Proportional to 141,064 and 301,537

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Solution

The third proportional to 141,064 and 301,537 is: 644,562.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,064 : 301,537 = 301,537 : x
  2. Step 2: Convert to fraction form
    141,064/301,537 = 301,537/x
  3. Step 3: Cross multiply
    141,064x = 301,537 × 301,537
  4. Step 4: Simplify right side
    141,064x = 90,924,562,369
  5. Step 5: Solve for x
    x = 90,924,562,369/141,064
  6. Step 6: Final answer
    x = 644,562.48

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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.