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Finding the Third Proportional to 194,528 and 402,544

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Solution

The third proportional to 194,528 and 402,544 is: 832,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,528 : 402,544 = 402,544 : x
  2. Step 2: Convert to fraction form
    194,528/402,544 = 402,544/x
  3. Step 3: Cross multiply
    194,528x = 402,544 × 402,544
  4. Step 4: Simplify right side
    194,528x = 162,041,671,936
  5. Step 5: Solve for x
    x = 162,041,671,936/194,528
  6. Step 6: Final answer
    x = 832,999.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.