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Finding the Third Proportional to 199,674 and 431,352

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Solution

The third proportional to 199,674 and 431,352 is: 931,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,674 : 431,352 = 431,352 : x
  2. Step 2: Convert to fraction form
    199,674/431,352 = 431,352/x
  3. Step 3: Cross multiply
    199,674x = 431,352 × 431,352
  4. Step 4: Simplify right side
    199,674x = 186,064,547,904
  5. Step 5: Solve for x
    x = 186,064,547,904/199,674
  6. Step 6: Final answer
    x = 931,841.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.