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Finding the Third Proportional to 155,937 and 341,706

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Solution

The third proportional to 155,937 and 341,706 is: 748,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,937 : 341,706 = 341,706 : x
  2. Step 2: Convert to fraction form
    155,937/341,706 = 341,706/x
  3. Step 3: Cross multiply
    155,937x = 341,706 × 341,706
  4. Step 4: Simplify right side
    155,937x = 116,762,990,436
  5. Step 5: Solve for x
    x = 116,762,990,436/155,937
  6. Step 6: Final answer
    x = 748,783.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.