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Finding the Third Proportional to 162,853 and 358,835

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Solution

The third proportional to 162,853 and 358,835 is: 790,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,853 : 358,835 = 358,835 : x
  2. Step 2: Convert to fraction form
    162,853/358,835 = 358,835/x
  3. Step 3: Cross multiply
    162,853x = 358,835 × 358,835
  4. Step 4: Simplify right side
    162,853x = 128,762,557,225
  5. Step 5: Solve for x
    x = 128,762,557,225/162,853
  6. Step 6: Final answer
    x = 790,667.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.