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Finding the Third Proportional to 191,798 and 403,820

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Solution

The third proportional to 191,798 and 403,820 is: 850,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,798 : 403,820 = 403,820 : x
  2. Step 2: Convert to fraction form
    191,798/403,820 = 403,820/x
  3. Step 3: Cross multiply
    191,798x = 403,820 × 403,820
  4. Step 4: Simplify right side
    191,798x = 163,070,592,400
  5. Step 5: Solve for x
    x = 163,070,592,400/191,798
  6. Step 6: Final answer
    x = 850,220.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.