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Finding the Third Proportional to 245,457 and 360,092.25

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Solution

The third proportional to 245,457 and 360,092.25 is: 528,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,457 : 360,092.25 = 360,092.25 : x
  2. Step 2: Convert to fraction form
    245,457/360,092.25 = 360,092.25/x
  3. Step 3: Cross multiply
    245,457x = 360,092.25 × 360,092.25
  4. Step 4: Simplify right side
    245,457x = 129,666,428,510.06
  5. Step 5: Solve for x
    x = 129,666,428,510.06/245,457
  6. Step 6: Final answer
    x = 528,265.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.