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Finding the Third Proportional to 134,209 and 292,534

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Solution

The third proportional to 134,209 and 292,534 is: 637,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,209 : 292,534 = 292,534 : x
  2. Step 2: Convert to fraction form
    134,209/292,534 = 292,534/x
  3. Step 3: Cross multiply
    134,209x = 292,534 × 292,534
  4. Step 4: Simplify right side
    134,209x = 85,576,141,156
  5. Step 5: Solve for x
    x = 85,576,141,156/134,209
  6. Step 6: Final answer
    x = 637,633.40

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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.