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Finding the Third Proportional to 153,752 and 334,430

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Solution

The third proportional to 153,752 and 334,430 is: 727,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,752 : 334,430 = 334,430 : x
  2. Step 2: Convert to fraction form
    153,752/334,430 = 334,430/x
  3. Step 3: Cross multiply
    153,752x = 334,430 × 334,430
  4. Step 4: Simplify right side
    153,752x = 111,843,424,900
  5. Step 5: Solve for x
    x = 111,843,424,900/153,752
  6. Step 6: Final answer
    x = 727,427.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.