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Finding the Third Proportional to 134,692 and 293,030

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Solution

The third proportional to 134,692 and 293,030 is: 637,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,692 : 293,030 = 293,030 : x
  2. Step 2: Convert to fraction form
    134,692/293,030 = 293,030/x
  3. Step 3: Cross multiply
    134,692x = 293,030 × 293,030
  4. Step 4: Simplify right side
    134,692x = 85,866,580,900
  5. Step 5: Solve for x
    x = 85,866,580,900/134,692
  6. Step 6: Final answer
    x = 637,503.20

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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.