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Finding the Third Proportional to 155,922 and 235,294

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Solution

The third proportional to 155,922 and 235,294 is: 355,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,922 : 235,294 = 235,294 : x
  2. Step 2: Convert to fraction form
    155,922/235,294 = 235,294/x
  3. Step 3: Cross multiply
    155,922x = 235,294 × 235,294
  4. Step 4: Simplify right side
    155,922x = 55,363,266,436
  5. Step 5: Solve for x
    x = 55,363,266,436/155,922
  6. Step 6: Final answer
    x = 355,070.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.