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Finding the Third Proportional to 282,225.13 and 402,317

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Solution

The third proportional to 282,225.13 and 402,317 is: 573,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,225.13 : 402,317 = 402,317 : x
  2. Step 2: Convert to fraction form
    282,225.13/402,317 = 402,317/x
  3. Step 3: Cross multiply
    282,225.13x = 402,317 × 402,317
  4. Step 4: Simplify right side
    282,225.13x = 161,858,968,489
  5. Step 5: Solve for x
    x = 161,858,968,489/282,225.13
  6. Step 6: Final answer
    x = 573,510.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.