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Finding the Third Proportional to 147,618 and 229,203

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Solution

The third proportional to 147,618 and 229,203 is: 355,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,618 : 229,203 = 229,203 : x
  2. Step 2: Convert to fraction form
    147,618/229,203 = 229,203/x
  3. Step 3: Cross multiply
    147,618x = 229,203 × 229,203
  4. Step 4: Simplify right side
    147,618x = 52,534,015,209
  5. Step 5: Solve for x
    x = 52,534,015,209/147,618
  6. Step 6: Final answer
    x = 355,878.11

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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.