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Finding the Third Proportional to 145,328 and 205,656

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Solution

The third proportional to 145,328 and 205,656 is: 291,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,328 : 205,656 = 205,656 : x
  2. Step 2: Convert to fraction form
    145,328/205,656 = 205,656/x
  3. Step 3: Cross multiply
    145,328x = 205,656 × 205,656
  4. Step 4: Simplify right side
    145,328x = 42,294,390,336
  5. Step 5: Solve for x
    x = 42,294,390,336/145,328
  6. Step 6: Final answer
    x = 291,027.13

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.