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Finding the Third Proportional to 165,618 and 357,462

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Solution

The third proportional to 165,618 and 357,462 is: 771,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,618 : 357,462 = 357,462 : x
  2. Step 2: Convert to fraction form
    165,618/357,462 = 357,462/x
  3. Step 3: Cross multiply
    165,618x = 357,462 × 357,462
  4. Step 4: Simplify right side
    165,618x = 127,779,081,444
  5. Step 5: Solve for x
    x = 127,779,081,444/165,618
  6. Step 6: Final answer
    x = 771,528.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.