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Finding the Third Proportional to 216,085 and 341,886

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Solution

The third proportional to 216,085 and 341,886 is: 540,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,085 : 341,886 = 341,886 : x
  2. Step 2: Convert to fraction form
    216,085/341,886 = 341,886/x
  3. Step 3: Cross multiply
    216,085x = 341,886 × 341,886
  4. Step 4: Simplify right side
    216,085x = 116,886,036,996
  5. Step 5: Solve for x
    x = 116,886,036,996/216,085
  6. Step 6: Final answer
    x = 540,926.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.