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Finding the Third Proportional to 111,547 and 243,403

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Solution

The third proportional to 111,547 and 243,403 is: 531,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,547 : 243,403 = 243,403 : x
  2. Step 2: Convert to fraction form
    111,547/243,403 = 243,403/x
  3. Step 3: Cross multiply
    111,547x = 243,403 × 243,403
  4. Step 4: Simplify right side
    111,547x = 59,245,020,409
  5. Step 5: Solve for x
    x = 59,245,020,409/111,547
  6. Step 6: Final answer
    x = 531,121.59

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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.