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Finding the Third Proportional to 178,080 and 384,528

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Solution

The third proportional to 178,080 and 384,528 is: 830,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,080 : 384,528 = 384,528 : x
  2. Step 2: Convert to fraction form
    178,080/384,528 = 384,528/x
  3. Step 3: Cross multiply
    178,080x = 384,528 × 384,528
  4. Step 4: Simplify right side
    178,080x = 147,861,782,784
  5. Step 5: Solve for x
    x = 147,861,782,784/178,080
  6. Step 6: Final answer
    x = 830,311.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.