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Finding the Third Proportional to 134,580 and 208,971

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Solution

The third proportional to 134,580 and 208,971 is: 324,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,580 : 208,971 = 208,971 : x
  2. Step 2: Convert to fraction form
    134,580/208,971 = 208,971/x
  3. Step 3: Cross multiply
    134,580x = 208,971 × 208,971
  4. Step 4: Simplify right side
    134,580x = 43,668,878,841
  5. Step 5: Solve for x
    x = 43,668,878,841/134,580
  6. Step 6: Final answer
    x = 324,482.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.