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Finding the Third Proportional to 165,602 and 357,433

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Solution

The third proportional to 165,602 and 357,433 is: 771,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,602 : 357,433 = 357,433 : x
  2. Step 2: Convert to fraction form
    165,602/357,433 = 357,433/x
  3. Step 3: Cross multiply
    165,602x = 357,433 × 357,433
  4. Step 4: Simplify right side
    165,602x = 127,758,349,489
  5. Step 5: Solve for x
    x = 127,758,349,489/165,602
  6. Step 6: Final answer
    x = 771,478.30

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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.