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Finding the Third Proportional to 116,541.84 and 257,585.06

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Solution

The third proportional to 116,541.84 and 257,585.06 is: 569,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,541.84 : 257,585.06 = 257,585.06 : x
  2. Step 2: Convert to fraction form
    116,541.84/257,585.06 = 257,585.06/x
  3. Step 3: Cross multiply
    116,541.84x = 257,585.06 × 257,585.06
  4. Step 4: Simplify right side
    116,541.84x = 66,350,064,423.13
  5. Step 5: Solve for x
    x = 66,350,064,423.13/116,541.84
  6. Step 6: Final answer
    x = 569,323.96

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.