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Finding the Third Proportional to 178,045.03 and 411,820.88

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Solution

The third proportional to 178,045.03 and 411,820.88 is: 952,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,045.03 : 411,820.88 = 411,820.88 : x
  2. Step 2: Convert to fraction form
    178,045.03/411,820.88 = 411,820.88/x
  3. Step 3: Cross multiply
    178,045.03x = 411,820.88 × 411,820.88
  4. Step 4: Simplify right side
    178,045.03x = 169,596,433,085.77
  5. Step 5: Solve for x
    x = 169,596,433,085.77/178,045.03
  6. Step 6: Final answer
    x = 952,547.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.