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Finding the Third Proportional to 178,254 and 278,316

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Solution

The third proportional to 178,254 and 278,316 is: 434,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,254 : 278,316 = 278,316 : x
  2. Step 2: Convert to fraction form
    178,254/278,316 = 278,316/x
  3. Step 3: Cross multiply
    178,254x = 278,316 × 278,316
  4. Step 4: Simplify right side
    178,254x = 77,459,795,856
  5. Step 5: Solve for x
    x = 77,459,795,856/178,254
  6. Step 6: Final answer
    x = 434,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.