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Finding the Third Proportional to 202,411.13 and 297,051.19

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Solution

The third proportional to 202,411.13 and 297,051.19 is: 435,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,411.13 : 297,051.19 = 297,051.19 : x
  2. Step 2: Convert to fraction form
    202,411.13/297,051.19 = 297,051.19/x
  3. Step 3: Cross multiply
    202,411.13x = 297,051.19 × 297,051.19
  4. Step 4: Simplify right side
    202,411.13x = 88,239,407,995.16
  5. Step 5: Solve for x
    x = 88,239,407,995.16/202,411.13
  6. Step 6: Final answer
    x = 435,941.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.