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Finding the Third Proportional to 193,076 and 286,776

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Solution

The third proportional to 193,076 and 286,776 is: 425,948.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,076 : 286,776 = 286,776 : x
  2. Step 2: Convert to fraction form
    193,076/286,776 = 286,776/x
  3. Step 3: Cross multiply
    193,076x = 286,776 × 286,776
  4. Step 4: Simplify right side
    193,076x = 82,240,474,176
  5. Step 5: Solve for x
    x = 82,240,474,176/193,076
  6. Step 6: Final answer
    x = 425,948.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.