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Finding the Third Proportional to 164,475 and 358,697

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Solution

The third proportional to 164,475 and 358,697 is: 782,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,475 : 358,697 = 358,697 : x
  2. Step 2: Convert to fraction form
    164,475/358,697 = 358,697/x
  3. Step 3: Cross multiply
    164,475x = 358,697 × 358,697
  4. Step 4: Simplify right side
    164,475x = 128,663,537,809
  5. Step 5: Solve for x
    x = 128,663,537,809/164,475
  6. Step 6: Final answer
    x = 782,268.05

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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.