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Finding the Third Proportional to 216,080 and 341,878

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Solution

The third proportional to 216,080 and 341,878 is: 540,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,080 : 341,878 = 341,878 : x
  2. Step 2: Convert to fraction form
    216,080/341,878 = 341,878/x
  3. Step 3: Cross multiply
    216,080x = 341,878 × 341,878
  4. Step 4: Simplify right side
    216,080x = 116,880,566,884
  5. Step 5: Solve for x
    x = 116,880,566,884/216,080
  6. Step 6: Final answer
    x = 540,913.40

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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.