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Finding the Third Proportional to 223,798 and 341,541

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Solution

The third proportional to 223,798 and 341,541 is: 521,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,798 : 341,541 = 341,541 : x
  2. Step 2: Convert to fraction form
    223,798/341,541 = 341,541/x
  3. Step 3: Cross multiply
    223,798x = 341,541 × 341,541
  4. Step 4: Simplify right side
    223,798x = 116,650,254,681
  5. Step 5: Solve for x
    x = 116,650,254,681/223,798
  6. Step 6: Final answer
    x = 521,230.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.