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Finding the Third Proportional to 257,199.75 and 549,864

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Solution

The third proportional to 257,199.75 and 549,864 is: 1,175,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,199.75 : 549,864 = 549,864 : x
  2. Step 2: Convert to fraction form
    257,199.75/549,864 = 549,864/x
  3. Step 3: Cross multiply
    257,199.75x = 549,864 × 549,864
  4. Step 4: Simplify right side
    257,199.75x = 302,350,418,496
  5. Step 5: Solve for x
    x = 302,350,418,496/257,199.75
  6. Step 6: Final answer
    x = 1,175,547.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.