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Finding the Third Proportional to 187,248 and 400,740

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Solution

The third proportional to 187,248 and 400,740 is: 857,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,248 : 400,740 = 400,740 : x
  2. Step 2: Convert to fraction form
    187,248/400,740 = 400,740/x
  3. Step 3: Cross multiply
    187,248x = 400,740 × 400,740
  4. Step 4: Simplify right side
    187,248x = 160,592,547,600
  5. Step 5: Solve for x
    x = 160,592,547,600/187,248
  6. Step 6: Final answer
    x = 857,646.26

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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.