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Finding the Third Proportional to 183,456 and 282,528

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Solution

The third proportional to 183,456 and 282,528 is: 435,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,456 : 282,528 = 282,528 : x
  2. Step 2: Convert to fraction form
    183,456/282,528 = 282,528/x
  3. Step 3: Cross multiply
    183,456x = 282,528 × 282,528
  4. Step 4: Simplify right side
    183,456x = 79,822,070,784
  5. Step 5: Solve for x
    x = 79,822,070,784/183,456
  6. Step 6: Final answer
    x = 435,101.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.