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Finding the Third Proportional to 234,054 and 347,618

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Solution

The third proportional to 234,054 and 347,618 is: 516,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,054 : 347,618 = 347,618 : x
  2. Step 2: Convert to fraction form
    234,054/347,618 = 347,618/x
  3. Step 3: Cross multiply
    234,054x = 347,618 × 347,618
  4. Step 4: Simplify right side
    234,054x = 120,838,273,924
  5. Step 5: Solve for x
    x = 120,838,273,924/234,054
  6. Step 6: Final answer
    x = 516,283.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.