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Finding the Third Proportional to 230,863.50 and 354,618

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Solution

The third proportional to 230,863.50 and 354,618 is: 544,711.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,863.50 : 354,618 = 354,618 : x
  2. Step 2: Convert to fraction form
    230,863.50/354,618 = 354,618/x
  3. Step 3: Cross multiply
    230,863.50x = 354,618 × 354,618
  4. Step 4: Simplify right side
    230,863.50x = 125,753,925,924
  5. Step 5: Solve for x
    x = 125,753,925,924/230,863.50
  6. Step 6: Final answer
    x = 544,711.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.