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Finding the Third Proportional to 142,857 and 301,618

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Solution

The third proportional to 142,857 and 301,618 is: 636,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,857 : 301,618 = 301,618 : x
  2. Step 2: Convert to fraction form
    142,857/301,618 = 301,618/x
  3. Step 3: Cross multiply
    142,857x = 301,618 × 301,618
  4. Step 4: Simplify right side
    142,857x = 90,973,417,924
  5. Step 5: Solve for x
    x = 90,973,417,924/142,857
  6. Step 6: Final answer
    x = 636,814.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.