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Finding the Third Proportional to 242,712 and 525,168

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Solution

The third proportional to 242,712 and 525,168 is: 1,136,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,712 : 525,168 = 525,168 : x
  2. Step 2: Convert to fraction form
    242,712/525,168 = 525,168/x
  3. Step 3: Cross multiply
    242,712x = 525,168 × 525,168
  4. Step 4: Simplify right side
    242,712x = 275,801,428,224
  5. Step 5: Solve for x
    x = 275,801,428,224/242,712
  6. Step 6: Final answer
    x = 1,136,332.07

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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.