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Finding the Third Proportional to 233,415.56 and 370,535.06

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Solution

The third proportional to 233,415.56 and 370,535.06 is: 588,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,415.56 : 370,535.06 = 370,535.06 : x
  2. Step 2: Convert to fraction form
    233,415.56/370,535.06 = 370,535.06/x
  3. Step 3: Cross multiply
    233,415.56x = 370,535.06 × 370,535.06
  4. Step 4: Simplify right side
    233,415.56x = 137,296,232,541.88
  5. Step 5: Solve for x
    x = 137,296,232,541.88/233,415.56
  6. Step 6: Final answer
    x = 588,205.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.