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Finding the Third Proportional to 145,572 and 233,418

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Solution

The third proportional to 145,572 and 233,418 is: 374,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,572 : 233,418 = 233,418 : x
  2. Step 2: Convert to fraction form
    145,572/233,418 = 233,418/x
  3. Step 3: Cross multiply
    145,572x = 233,418 × 233,418
  4. Step 4: Simplify right side
    145,572x = 54,483,962,724
  5. Step 5: Solve for x
    x = 54,483,962,724/145,572
  6. Step 6: Final answer
    x = 374,275.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.