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Finding the Third Proportional to 153,583 and 229,190

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Solution

The third proportional to 153,583 and 229,190 is: 342,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,583 : 229,190 = 229,190 : x
  2. Step 2: Convert to fraction form
    153,583/229,190 = 229,190/x
  3. Step 3: Cross multiply
    153,583x = 229,190 × 229,190
  4. Step 4: Simplify right side
    153,583x = 52,528,056,100
  5. Step 5: Solve for x
    x = 52,528,056,100/153,583
  6. Step 6: Final answer
    x = 342,017.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.