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Finding the Third Proportional to 148,023 and 325,572

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Solution

The third proportional to 148,023 and 325,572 is: 716,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,023 : 325,572 = 325,572 : x
  2. Step 2: Convert to fraction form
    148,023/325,572 = 325,572/x
  3. Step 3: Cross multiply
    148,023x = 325,572 × 325,572
  4. Step 4: Simplify right side
    148,023x = 105,997,127,184
  5. Step 5: Solve for x
    x = 105,997,127,184/148,023
  6. Step 6: Final answer
    x = 716,085.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.