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Finding the Third Proportional to 249,948 and 357,176.25

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Solution

The third proportional to 249,948 and 357,176.25 is: 510,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,948 : 357,176.25 = 357,176.25 : x
  2. Step 2: Convert to fraction form
    249,948/357,176.25 = 357,176.25/x
  3. Step 3: Cross multiply
    249,948x = 357,176.25 × 357,176.25
  4. Step 4: Simplify right side
    249,948x = 127,574,873,564.06
  5. Step 5: Solve for x
    x = 127,574,873,564.06/249,948
  6. Step 6: Final answer
    x = 510,405.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.