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Finding the Third Proportional to 147,603 and 229,180.50

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Solution

The third proportional to 147,603 and 229,180.50 is: 355,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,603 : 229,180.50 = 229,180.50 : x
  2. Step 2: Convert to fraction form
    147,603/229,180.50 = 229,180.50/x
  3. Step 3: Cross multiply
    147,603x = 229,180.50 × 229,180.50
  4. Step 4: Simplify right side
    147,603x = 52,523,701,580.25
  5. Step 5: Solve for x
    x = 52,523,701,580.25/147,603
  6. Step 6: Final answer
    x = 355,844.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.