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Finding the Third Proportional to 164,619 and 360,646

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Solution

The third proportional to 164,619 and 360,646 is: 790,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,619 : 360,646 = 360,646 : x
  2. Step 2: Convert to fraction form
    164,619/360,646 = 360,646/x
  3. Step 3: Cross multiply
    164,619x = 360,646 × 360,646
  4. Step 4: Simplify right side
    164,619x = 130,065,537,316
  5. Step 5: Solve for x
    x = 130,065,537,316/164,619
  6. Step 6: Final answer
    x = 790,100.40

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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.