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Finding the Third Proportional to 240,192 and 525,528

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Solution

The third proportional to 240,192 and 525,528 is: 1,149,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,192 : 525,528 = 525,528 : x
  2. Step 2: Convert to fraction form
    240,192/525,528 = 525,528/x
  3. Step 3: Cross multiply
    240,192x = 525,528 × 525,528
  4. Step 4: Simplify right side
    240,192x = 276,179,678,784
  5. Step 5: Solve for x
    x = 276,179,678,784/240,192
  6. Step 6: Final answer
    x = 1,149,828.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.