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Finding the Third Proportional to 147,644 and 346,618

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Solution

The third proportional to 147,644 and 346,618 is: 813,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,644 : 346,618 = 346,618 : x
  2. Step 2: Convert to fraction form
    147,644/346,618 = 346,618/x
  3. Step 3: Cross multiply
    147,644x = 346,618 × 346,618
  4. Step 4: Simplify right side
    147,644x = 120,144,037,924
  5. Step 5: Solve for x
    x = 120,144,037,924/147,644
  6. Step 6: Final answer
    x = 813,741.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.