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Finding the Third Proportional to 170,897.34 and 265,302.84

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Solution

The third proportional to 170,897.34 and 265,302.84 is: 411,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,897.34 : 265,302.84 = 265,302.84 : x
  2. Step 2: Convert to fraction form
    170,897.34/265,302.84 = 265,302.84/x
  3. Step 3: Cross multiply
    170,897.34x = 265,302.84 × 265,302.84
  4. Step 4: Simplify right side
    170,897.34x = 70,385,598,901.84
  5. Step 5: Solve for x
    x = 70,385,598,901.84/170,897.34
  6. Step 6: Final answer
    x = 411,858.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.