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Finding the Third Proportional to 182,823.75 and 282,528

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Solution

The third proportional to 182,823.75 and 282,528 is: 436,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,823.75 : 282,528 = 282,528 : x
  2. Step 2: Convert to fraction form
    182,823.75/282,528 = 282,528/x
  3. Step 3: Cross multiply
    182,823.75x = 282,528 × 282,528
  4. Step 4: Simplify right side
    182,823.75x = 79,822,070,784
  5. Step 5: Solve for x
    x = 79,822,070,784/182,823.75
  6. Step 6: Final answer
    x = 436,606.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.