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Finding the Third Proportional to 156,972 and 223,618

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Solution

The third proportional to 156,972 and 223,618 is: 318,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 223,618 = 223,618 : x
  2. Step 2: Convert to fraction form
    156,972/223,618 = 223,618/x
  3. Step 3: Cross multiply
    156,972x = 223,618 × 223,618
  4. Step 4: Simplify right side
    156,972x = 50,005,009,924
  5. Step 5: Solve for x
    x = 50,005,009,924/156,972
  6. Step 6: Final answer
    x = 318,560.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.