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Finding the Third Proportional to 169,875 and 375,957

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Solution

The third proportional to 169,875 and 375,957 is: 832,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,875 : 375,957 = 375,957 : x
  2. Step 2: Convert to fraction form
    169,875/375,957 = 375,957/x
  3. Step 3: Cross multiply
    169,875x = 375,957 × 375,957
  4. Step 4: Simplify right side
    169,875x = 141,343,665,849
  5. Step 5: Solve for x
    x = 141,343,665,849/169,875
  6. Step 6: Final answer
    x = 832,045.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.