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Finding the Third Proportional to 187,534 and 404,394.50

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Solution

The third proportional to 187,534 and 404,394.50 is: 872,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,534 : 404,394.50 = 404,394.50 : x
  2. Step 2: Convert to fraction form
    187,534/404,394.50 = 404,394.50/x
  3. Step 3: Cross multiply
    187,534x = 404,394.50 × 404,394.50
  4. Step 4: Simplify right side
    187,534x = 163,534,911,630.25
  5. Step 5: Solve for x
    x = 163,534,911,630.25/187,534
  6. Step 6: Final answer
    x = 872,028.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.