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Finding the Third Proportional to 164,473 and 358,693

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Solution

The third proportional to 164,473 and 358,693 is: 782,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,473 : 358,693 = 358,693 : x
  2. Step 2: Convert to fraction form
    164,473/358,693 = 358,693/x
  3. Step 3: Cross multiply
    164,473x = 358,693 × 358,693
  4. Step 4: Simplify right side
    164,473x = 128,660,668,249
  5. Step 5: Solve for x
    x = 128,660,668,249/164,473
  6. Step 6: Final answer
    x = 782,260.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.