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Finding the Third Proportional to 191,456 and 317,985

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Solution

The third proportional to 191,456 and 317,985 is: 528,134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,456 : 317,985 = 317,985 : x
  2. Step 2: Convert to fraction form
    191,456/317,985 = 317,985/x
  3. Step 3: Cross multiply
    191,456x = 317,985 × 317,985
  4. Step 4: Simplify right side
    191,456x = 101,114,460,225
  5. Step 5: Solve for x
    x = 101,114,460,225/191,456
  6. Step 6: Final answer
    x = 528,134.19

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.