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Finding the Third Proportional to 196,688 and 430,312

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Solution

The third proportional to 196,688 and 430,312 is: 941,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,688 : 430,312 = 430,312 : x
  2. Step 2: Convert to fraction form
    196,688/430,312 = 430,312/x
  3. Step 3: Cross multiply
    196,688x = 430,312 × 430,312
  4. Step 4: Simplify right side
    196,688x = 185,168,417,344
  5. Step 5: Solve for x
    x = 185,168,417,344/196,688
  6. Step 6: Final answer
    x = 941,432.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.