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Finding the Third Proportional to 292,176 and 390,150

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Solution

The third proportional to 292,176 and 390,150 is: 520,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,176 : 390,150 = 390,150 : x
  2. Step 2: Convert to fraction form
    292,176/390,150 = 390,150/x
  3. Step 3: Cross multiply
    292,176x = 390,150 × 390,150
  4. Step 4: Simplify right side
    292,176x = 152,217,022,500
  5. Step 5: Solve for x
    x = 152,217,022,500/292,176
  6. Step 6: Final answer
    x = 520,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.