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Finding the Third Proportional to 161,475.50 and 377,159

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Solution

The third proportional to 161,475.50 and 377,159 is: 880,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,475.50 : 377,159 = 377,159 : x
  2. Step 2: Convert to fraction form
    161,475.50/377,159 = 377,159/x
  3. Step 3: Cross multiply
    161,475.50x = 377,159 × 377,159
  4. Step 4: Simplify right side
    161,475.50x = 142,248,911,281
  5. Step 5: Solve for x
    x = 142,248,911,281/161,475.50
  6. Step 6: Final answer
    x = 880,931.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.