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Finding the Third Proportional to 119,046 and 254,237

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Solution

The third proportional to 119,046 and 254,237 is: 542,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,046 : 254,237 = 254,237 : x
  2. Step 2: Convert to fraction form
    119,046/254,237 = 254,237/x
  3. Step 3: Cross multiply
    119,046x = 254,237 × 254,237
  4. Step 4: Simplify right side
    119,046x = 64,636,452,169
  5. Step 5: Solve for x
    x = 64,636,452,169/119,046
  6. Step 6: Final answer
    x = 542,953.58

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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.