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Finding the Third Proportional to 187,075.13 and 411,534

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Solution

The third proportional to 187,075.13 and 411,534 is: 905,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,075.13 : 411,534 = 411,534 : x
  2. Step 2: Convert to fraction form
    187,075.13/411,534 = 411,534/x
  3. Step 3: Cross multiply
    187,075.13x = 411,534 × 411,534
  4. Step 4: Simplify right side
    187,075.13x = 169,360,233,156
  5. Step 5: Solve for x
    x = 169,360,233,156/187,075.13
  6. Step 6: Final answer
    x = 905,306.00

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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.