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Finding the Third Proportional to 136,798 and 218,541

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Solution

The third proportional to 136,798 and 218,541 is: 349,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,798 : 218,541 = 218,541 : x
  2. Step 2: Convert to fraction form
    136,798/218,541 = 218,541/x
  3. Step 3: Cross multiply
    136,798x = 218,541 × 218,541
  4. Step 4: Simplify right side
    136,798x = 47,760,168,681
  5. Step 5: Solve for x
    x = 47,760,168,681/136,798
  6. Step 6: Final answer
    x = 349,129.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.