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Finding the Third Proportional to 164,095 and 358,562

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Solution

The third proportional to 164,095 and 358,562 is: 783,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,095 : 358,562 = 358,562 : x
  2. Step 2: Convert to fraction form
    164,095/358,562 = 358,562/x
  3. Step 3: Cross multiply
    164,095x = 358,562 × 358,562
  4. Step 4: Simplify right side
    164,095x = 128,566,707,844
  5. Step 5: Solve for x
    x = 128,566,707,844/164,095
  6. Step 6: Final answer
    x = 783,489.49

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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.