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Finding the Third Proportional to 162,054 and 245,316

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Solution

The third proportional to 162,054 and 245,316 is: 371,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,054 : 245,316 = 245,316 : x
  2. Step 2: Convert to fraction form
    162,054/245,316 = 245,316/x
  3. Step 3: Cross multiply
    162,054x = 245,316 × 245,316
  4. Step 4: Simplify right side
    162,054x = 60,179,939,856
  5. Step 5: Solve for x
    x = 60,179,939,856/162,054
  6. Step 6: Final answer
    x = 371,357.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.