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Finding the Third Proportional to 228,352 and 347,915

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Solution

The third proportional to 228,352 and 347,915 is: 530,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,352 : 347,915 = 347,915 : x
  2. Step 2: Convert to fraction form
    228,352/347,915 = 347,915/x
  3. Step 3: Cross multiply
    228,352x = 347,915 × 347,915
  4. Step 4: Simplify right side
    228,352x = 121,044,847,225
  5. Step 5: Solve for x
    x = 121,044,847,225/228,352
  6. Step 6: Final answer
    x = 530,080.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.