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Finding the Third Proportional to 116,335 and 175,473

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Solution

The third proportional to 116,335 and 175,473 is: 264,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,335 : 175,473 = 175,473 : x
  2. Step 2: Convert to fraction form
    116,335/175,473 = 175,473/x
  3. Step 3: Cross multiply
    116,335x = 175,473 × 175,473
  4. Step 4: Simplify right side
    116,335x = 30,790,773,729
  5. Step 5: Solve for x
    x = 30,790,773,729/116,335
  6. Step 6: Final answer
    x = 264,673.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.