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Finding the Third Proportional to 229,354 and 350,618

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Solution

The third proportional to 229,354 and 350,618 is: 535,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,354 : 350,618 = 350,618 : x
  2. Step 2: Convert to fraction form
    229,354/350,618 = 350,618/x
  3. Step 3: Cross multiply
    229,354x = 350,618 × 350,618
  4. Step 4: Simplify right side
    229,354x = 122,932,981,924
  5. Step 5: Solve for x
    x = 122,932,981,924/229,354
  6. Step 6: Final answer
    x = 535,996.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.