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Finding the Third Proportional to 146,618 and 228,681

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Solution

The third proportional to 146,618 and 228,681 is: 356,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,618 : 228,681 = 228,681 : x
  2. Step 2: Convert to fraction form
    146,618/228,681 = 228,681/x
  3. Step 3: Cross multiply
    146,618x = 228,681 × 228,681
  4. Step 4: Simplify right side
    146,618x = 52,294,999,761
  5. Step 5: Solve for x
    x = 52,294,999,761/146,618
  6. Step 6: Final answer
    x = 356,675.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.