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Finding the Third Proportional to 164,628 and 363,528

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Solution

The third proportional to 164,628 and 363,528 is: 802,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,628 : 363,528 = 363,528 : x
  2. Step 2: Convert to fraction form
    164,628/363,528 = 363,528/x
  3. Step 3: Cross multiply
    164,628x = 363,528 × 363,528
  4. Step 4: Simplify right side
    164,628x = 132,152,606,784
  5. Step 5: Solve for x
    x = 132,152,606,784/164,628
  6. Step 6: Final answer
    x = 802,734.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.