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Finding the Third Proportional to 114,852 and 243,618

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Solution

The third proportional to 114,852 and 243,618 is: 516,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,852 : 243,618 = 243,618 : x
  2. Step 2: Convert to fraction form
    114,852/243,618 = 243,618/x
  3. Step 3: Cross multiply
    114,852x = 243,618 × 243,618
  4. Step 4: Simplify right side
    114,852x = 59,349,729,924
  5. Step 5: Solve for x
    x = 59,349,729,924/114,852
  6. Step 6: Final answer
    x = 516,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.