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Finding the Third Proportional to 239,911 and 358,545

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Solution

The third proportional to 239,911 and 358,545 is: 535,842.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,911 : 358,545 = 358,545 : x
  2. Step 2: Convert to fraction form
    239,911/358,545 = 358,545/x
  3. Step 3: Cross multiply
    239,911x = 358,545 × 358,545
  4. Step 4: Simplify right side
    239,911x = 128,554,517,025
  5. Step 5: Solve for x
    x = 128,554,517,025/239,911
  6. Step 6: Final answer
    x = 535,842.53

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