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Finding the Third Proportional to 239,782.50 and 358,025.63

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Solution

The third proportional to 239,782.50 and 358,025.63 is: 534,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,782.50 : 358,025.63 = 358,025.63 : x
  2. Step 2: Convert to fraction form
    239,782.50/358,025.63 = 358,025.63/x
  3. Step 3: Cross multiply
    239,782.50x = 358,025.63 × 358,025.63
  4. Step 4: Simplify right side
    239,782.50x = 128,182,348,156.64
  5. Step 5: Solve for x
    x = 128,182,348,156.64/239,782.50
  6. Step 6: Final answer
    x = 534,577.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.