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Finding the Third Proportional to 153,732 and 359,076

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Solution

The third proportional to 153,732 and 359,076 is: 838,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,732 : 359,076 = 359,076 : x
  2. Step 2: Convert to fraction form
    153,732/359,076 = 359,076/x
  3. Step 3: Cross multiply
    153,732x = 359,076 × 359,076
  4. Step 4: Simplify right side
    153,732x = 128,935,573,776
  5. Step 5: Solve for x
    x = 128,935,573,776/153,732
  6. Step 6: Final answer
    x = 838,703.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.