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Finding the Third Proportional to 163,532 and 353,312

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Solution

The third proportional to 163,532 and 353,312 is: 763,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,532 : 353,312 = 353,312 : x
  2. Step 2: Convert to fraction form
    163,532/353,312 = 353,312/x
  3. Step 3: Cross multiply
    163,532x = 353,312 × 353,312
  4. Step 4: Simplify right side
    163,532x = 124,829,369,344
  5. Step 5: Solve for x
    x = 124,829,369,344/163,532
  6. Step 6: Final answer
    x = 763,332.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.