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Finding the Third Proportional to 134,849 and 295,618

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Solution

The third proportional to 134,849 and 295,618 is: 648,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,849 : 295,618 = 295,618 : x
  2. Step 2: Convert to fraction form
    134,849/295,618 = 295,618/x
  3. Step 3: Cross multiply
    134,849x = 295,618 × 295,618
  4. Step 4: Simplify right side
    134,849x = 87,390,001,924
  5. Step 5: Solve for x
    x = 87,390,001,924/134,849
  6. Step 6: Final answer
    x = 648,058.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.