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Finding the Third Proportional to 205,232 and 307,020

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Solution

The third proportional to 205,232 and 307,020 is: 459,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,232 : 307,020 = 307,020 : x
  2. Step 2: Convert to fraction form
    205,232/307,020 = 307,020/x
  3. Step 3: Cross multiply
    205,232x = 307,020 × 307,020
  4. Step 4: Simplify right side
    205,232x = 94,261,280,400
  5. Step 5: Solve for x
    x = 94,261,280,400/205,232
  6. Step 6: Final answer
    x = 459,291.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.